diff --git a/ast/ast.go b/ast/ast.go
index 2a19dfb..cee669a 100644
--- a/ast/ast.go
+++ b/ast/ast.go
@@ -300,7 +300,7 @@ type Parameters struct {
 // Import represents import "file".
 type Import struct {
 	NodeBase
-	File string
+	File *LiteralString
 }
 
 // ---------------------------------------------------------------------------
@@ -308,7 +308,7 @@ type Import struct {
 // ImportStr represents importstr "file".
 type ImportStr struct {
 	NodeBase
-	File string
+	File *LiteralString
 }
 
 // ---------------------------------------------------------------------------
diff --git a/desugarer.go b/desugarer.go
index d9a0ad6..60d6135 100644
--- a/desugarer.go
+++ b/desugarer.go
@@ -438,10 +438,18 @@ func desugar(astPtr *ast.Node, objLevel int) (err error) {
 		}
 
 	case *ast.Import:
-		// Nothing to do.
+		var file ast.Node = node.File
+		err = desugar(&file, objLevel)
+		if err != nil {
+			return
+		}
 
 	case *ast.ImportStr:
-		// Nothing to do.
+		var file ast.Node = node.File
+		err = desugar(&file, objLevel)
+		if err != nil {
+			return
+		}
 
 	case *ast.Index:
 		err = desugar(&node.Target, objLevel)
diff --git a/interpreter.go b/interpreter.go
index 84e750f..3aae6fc 100644
--- a/interpreter.go
+++ b/interpreter.go
@@ -379,11 +379,11 @@ func (i *interpreter) evaluate(a ast.Node, context *TraceContext) (value, error)
 
 	case *ast.Import:
 		codeDir := path.Dir(ast.Loc().FileName)
-		return i.importCache.ImportCode(codeDir, ast.File, e)
+		return i.importCache.ImportCode(codeDir, ast.File.Value, e)
 
 	case *ast.ImportStr:
 		codeDir := path.Dir(ast.Loc().FileName)
-		return i.importCache.ImportString(codeDir, ast.File, e)
+		return i.importCache.ImportString(codeDir, ast.File.Value, e)
 
 	case *ast.LiteralBoolean:
 		return makeValueBoolean(ast.Value), nil
diff --git a/parser/parser.go b/parser/parser.go
index d248d5d..bf8ce15 100644
--- a/parser/parser.go
+++ b/parser/parser.go
@@ -715,7 +715,7 @@ func (p *parser) parseTerminal() (ast.Node, error) {
 		return &ast.LiteralString{
 			NodeBase:    ast.NewNodeBaseLoc(tok.loc),
 			Value:       tok.data,
-			Kind:        ast.StringDouble,
+			Kind:        ast.StringBlock,
 			BlockIndent: tok.stringBlockIndent,
 		}, nil
 	case tokenVerbatimStringDouble:
@@ -902,9 +902,12 @@ func (p *parser) parse(prec precedence) (ast.Node, error) {
 			return nil, err
 		}
 		if lit, ok := body.(*ast.LiteralString); ok {
+			if lit.Kind == ast.StringBlock {
+				return nil, MakeStaticError("Block string literals not allowed in imports", *body.Loc())
+			}
 			return &ast.Import{
 				NodeBase: ast.NewNodeBaseLoc(locFromTokenAST(begin, body)),
-				File:     lit.Value,
+				File:     lit,
 			}, nil
 		}
 		return nil, MakeStaticError("Computed imports are not allowed", *body.Loc())
@@ -916,9 +919,12 @@ func (p *parser) parse(prec precedence) (ast.Node, error) {
 			return nil, err
 		}
 		if lit, ok := body.(*ast.LiteralString); ok {
+			if lit.Kind == ast.StringBlock {
+				return nil, MakeStaticError("Block string literals not allowed in imports", *body.Loc())
+			}
 			return &ast.ImportStr{
 				NodeBase: ast.NewNodeBaseLoc(locFromTokenAST(begin, body)),
-				File:     lit.Value,
+				File:     lit,
 			}, nil
 		}
 		return nil, MakeStaticError("Computed imports are not allowed", *body.Loc())
diff --git "a/testdata/\".golden" "b/testdata/\".golden"
new file mode 100644
index 0000000..4f12b35
--- /dev/null
+++ "b/testdata/\".golden"
@@ -0,0 +1 @@
+testdata/":2:1 Unexpected end of file.
diff --git "a/testdata/\".jsonnet" "b/testdata/\".jsonnet"
new file mode 100644
index 0000000..64ed8e6
--- /dev/null
+++ "b/testdata/\".jsonnet"
@@ -0,0 +1 @@
+// This file is there only for its filename: to test escaping in imports
diff --git a/testdata/'.golden b/testdata/'.golden
new file mode 100644
index 0000000..a4592f4
--- /dev/null
+++ b/testdata/'.golden
@@ -0,0 +1 @@
+testdata/':2:1 Unexpected end of file.
diff --git a/testdata/'.jsonnet b/testdata/'.jsonnet
new file mode 100644
index 0000000..64ed8e6
--- /dev/null
+++ b/testdata/'.jsonnet
@@ -0,0 +1 @@
+// This file is there only for its filename: to test escaping in imports
diff --git a/testdata/import_block_literal.golden b/testdata/import_block_literal.golden
new file mode 100644
index 0000000..e1956fd
--- /dev/null
+++ b/testdata/import_block_literal.golden
@@ -0,0 +1 @@
+testdata/import_block_literal:(1:8)-(3:4) Block string literals not allowed in imports
diff --git a/testdata/import_block_literal.jsonnet b/testdata/import_block_literal.jsonnet
new file mode 100644
index 0000000..8daaada
--- /dev/null
+++ b/testdata/import_block_literal.jsonnet
@@ -0,0 +1,3 @@
+import |||
+	block_literals_for_imports_are_not_allowed_and_make_exactly_zero_sense
+|||
diff --git a/testdata/import_computed.golden b/testdata/import_computed.golden
new file mode 100644
index 0000000..a4e3fa5
--- /dev/null
+++ b/testdata/import_computed.golden
@@ -0,0 +1 @@
+testdata/import_computed:1:9-16 Computed imports are not allowed
diff --git a/testdata/import_computed.jsonnet b/testdata/import_computed.jsonnet
new file mode 100644
index 0000000..a2d59f7
--- /dev/null
+++ b/testdata/import_computed.jsonnet
@@ -0,0 +1 @@
+import "a" + "b"
diff --git a/testdata/import_various_literals.golden b/testdata/import_various_literals.golden
new file mode 100644
index 0000000..f4143bd
--- /dev/null
+++ b/testdata/import_various_literals.golden
@@ -0,0 +1,6 @@
+[
+   true,
+   true,
+   true,
+   true
+]
diff --git a/testdata/import_various_literals.jsonnet b/testdata/import_various_literals.jsonnet
new file mode 100644
index 0000000..164ae3e
--- /dev/null
+++ b/testdata/import_various_literals.jsonnet
@@ -0,0 +1,6 @@
+[
+	import "true.jsonnet",
+	import 'true.jsonnet',
+	import @"true.jsonnet",
+	import @'true.jsonnet',
+]
diff --git a/testdata/import_various_literals_escaped.golden b/testdata/import_various_literals_escaped.golden
new file mode 100644
index 0000000..4b290ab
--- /dev/null
+++ b/testdata/import_various_literals_escaped.golden
@@ -0,0 +1 @@
+testdata/".jsonnet:2:1 Unexpected end of file.
diff --git a/testdata/import_various_literals_escaped.jsonnet b/testdata/import_various_literals_escaped.jsonnet
new file mode 100644
index 0000000..a932f2f
--- /dev/null
+++ b/testdata/import_various_literals_escaped.jsonnet
@@ -0,0 +1,6 @@
+[
+	import "\u0074rue.jsonnet",
+	import '\u0074rue.jsonnet',
+	import @""".jsonnet",
+	import @'''.jsonnet',
+]
diff --git a/testdata/importstr_block_literal.golden b/testdata/importstr_block_literal.golden
new file mode 100644
index 0000000..b81de14
--- /dev/null
+++ b/testdata/importstr_block_literal.golden
@@ -0,0 +1 @@
+testdata/importstr_block_literal:(1:11)-(3:4) Block string literals not allowed in imports
diff --git a/testdata/importstr_block_literal.jsonnet b/testdata/importstr_block_literal.jsonnet
new file mode 100644
index 0000000..8c6ee7e
--- /dev/null
+++ b/testdata/importstr_block_literal.jsonnet
@@ -0,0 +1,3 @@
+importstr |||
+	block_literals_for_imports_are_not_allowed_and_make_exactly_zero_sense
+|||
diff --git a/testdata/importstr_computed.golden b/testdata/importstr_computed.golden
new file mode 100644
index 0000000..abcafe8
--- /dev/null
+++ b/testdata/importstr_computed.golden
@@ -0,0 +1 @@
+testdata/importstr_computed:1:12-19 Computed imports are not allowed
diff --git a/testdata/importstr_computed.jsonnet b/testdata/importstr_computed.jsonnet
new file mode 100644
index 0000000..623672e
--- /dev/null
+++ b/testdata/importstr_computed.jsonnet
@@ -0,0 +1 @@
+importstr "a" + "b"
diff --git a/testdata/importstr_various_literals_escaped.golden b/testdata/importstr_various_literals_escaped.golden
new file mode 100644
index 0000000..0d618d0
--- /dev/null
+++ b/testdata/importstr_various_literals_escaped.golden
@@ -0,0 +1,6 @@
+[
+   "true\n",
+   "true\n",
+   "// This file is there only for its filename: to test escaping in imports\n",
+   "// This file is there only for its filename: to test escaping in imports\n"
+]
diff --git a/testdata/importstr_various_literals_escaped.jsonnet b/testdata/importstr_various_literals_escaped.jsonnet
new file mode 100644
index 0000000..8529808
--- /dev/null
+++ b/testdata/importstr_various_literals_escaped.jsonnet
@@ -0,0 +1,6 @@
+[
+	importstr "\u0074rue.jsonnet",
+	importstr '\u0074rue.jsonnet',
+	importstr @""".jsonnet",
+	importstr @'''.jsonnet',
+]
diff --git a/testdata/nonexistent_import_crazy.golden b/testdata/nonexistent_import_crazy.golden
index 709c9eb..7169f78 100644
--- a/testdata/nonexistent_import_crazy.golden
+++ b/testdata/nonexistent_import_crazy.golden
@@ -1 +1 @@
-RUNTIME ERROR: Couldn't open import "ąęółńśćźż \\\" \\' \\n\\n\\t\\t": No match locally or in the Jsonnet library paths.
+RUNTIME ERROR: Couldn't open import "ąęółńśćźż \" ' \n\n\t\t": No match locally or in the Jsonnet library paths.