diff --git a/doublestar.go b/doublestar.go
index 49cc5b5..50e506b 100644
--- a/doublestar.go
+++ b/doublestar.go
@@ -5,6 +5,7 @@ import (
 	"os"
 	"path"
 	"path/filepath"
+	"sort"
 	"strings"
 	"unicode/utf8"
 )
@@ -405,6 +406,8 @@ func doGlob(basedir, pattern string, matches []string) (m []string, e error) {
 	defer dir.Close()
 
 	files, _ := dir.Readdir(-1)
+	sort.Slice(files, func(i, j int) bool { return files[i].Name() < files[j].Name() })
+
 	slashIdx := indexRuneWithEscaping(pattern, '/')
 	lastComponent := slashIdx == -1
 	if lastComponent {
diff --git a/doublestar_test.go b/doublestar_test.go
index b23a41d..b21d20a 100644
--- a/doublestar_test.go
+++ b/doublestar_test.go
@@ -313,6 +313,26 @@ func symlink(oldname, newname string) {
 	}
 }
 
+func TestGlobSorted(t *testing.T) {
+	expected := []string{"a", "abc", "abcd", "abcde", "abxbbxdbxebxczzx", "abxbbxdbxebxczzy", "axbxcxdxe", "axbxcxdxexxx", "a☺b"}
+	matches, err := Glob(joinWithoutClean("test", "a*"))
+	if err != nil {
+		t.Errorf("Unexpected error %v", err)
+		return
+	}
+
+	if len(matches) != len(expected) {
+		t.Errorf("Glob returned %#v; expected %#v", matches, expected)
+		return
+	}
+	for idx, match := range matches {
+		if match != joinWithoutClean("test", expected[idx]) {
+			t.Errorf("Glob returned %#v; expected %#v", matches, expected)
+			return
+		}
+	}
+}
+
 func TestMain(m *testing.M) {
 	// create the test directory
 	mkdirp("test", "a", "b", "c")