diff --git a/html.go b/html.go
index 31f786b..ba10825 100644
--- a/html.go
+++ b/html.go
@@ -485,7 +485,7 @@ func (options *Html) Emphasis(out *bytes.Buffer, text []byte) {
 }
 
 func (options *Html) maybeWriteAbsolutePrefix(out *bytes.Buffer, link []byte) {
-	if options.parameters.AbsolutePrefix != "" && isRelativeLink(link) {
+	if options.parameters.AbsolutePrefix != "" && isRelativeLink(link) && link[0] != '.' {
 		out.WriteString(options.parameters.AbsolutePrefix)
 		if link[0] != '/' {
 			out.WriteByte('/')
@@ -890,6 +890,17 @@ func isRelativeLink(link []byte) (yes bool) {
 	if len(link) == 1 && link[0] == '/' {
 		yes = true
 	}
+
+	// current directory : begin with "./"
+	if len(link) >= 2 && link[0] == '.' && link[1] == '/' {
+		yes = true
+	}
+
+	// parent directory : begin with "../"
+	if len(link) >= 3 && link[0] == '.' && link[1] == '.' && link[2] == '/' {
+		yes = true
+	}
+
 	return
 }
 
diff --git a/inline.go b/inline.go
index fe45aa0..2e30e95 100644
--- a/inline.go
+++ b/inline.go
@@ -757,9 +757,20 @@ func isEndOfLink(char byte) bool {
 	return isspace(char) || char == '<'
 }
 
-var validUris = [][]byte{[]byte("http://"), []byte("https://"), []byte("ftp://"), []byte("mailto://"), []byte("/")}
+var validUris = [][]byte{[]byte("http://"), []byte("https://"), []byte("ftp://"), []byte("mailto://")}
+var validPaths = [][]byte{[]byte("/"), []byte("./"), []byte("../")}
 
 func isSafeLink(link []byte) bool {
+	for _, path := range validPaths {
+		if len(link) >= len(path) && bytes.Equal(link[:len(path)], path) {
+			if len(link) == len(path) {
+				return true
+			} else if isalnum(link[len(path)]) {
+				return true
+			}
+		}
+	}
+
 	for _, prefix := range validUris {
 		// TODO: handle unicode here
 		// case-insensitive prefix test
diff --git a/inline_test.go b/inline_test.go
index bf362e0..e540b8a 100644
--- a/inline_test.go
+++ b/inline_test.go
@@ -72,6 +72,7 @@ func doTestsInlineParam(t *testing.T, tests []string, extensions, htmlFlags int,
 		input := tests[i]
 		candidate = input
 		expected := tests[i+1]
+
 		actual := runMarkdownInline(candidate, extensions, htmlFlags, params)
 		if actual != expected {
 			t.Errorf("\nInput   [%#v]\nExpected[%#v]\nActual  [%#v]",
@@ -440,6 +441,15 @@ func TestInlineLink(t *testing.T) {
 
 		"[[t]](/t)\n",
 		"<p><a href=\"/t\">[t]</a></p>\n",
+
+		"[link](</>)\n",
+		"<p><a href=\"/\">link</a></p>\n",
+
+		"[link](<./>)\n",
+		"<p><a href=\"./\">link</a></p>\n",
+
+		"[link](<../>)\n",
+		"<p><a href=\"../\">link</a></p>\n",
 	}
 	doLinkTestsInline(t, tests)
 
@@ -452,6 +462,18 @@ func TestRelAttrLink(t *testing.T) {
 
 		"[foo](/bar/)\n",
 		"<p><a href=\"/bar/\">foo</a></p>\n",
+
+		"[foo](/)\n",
+		"<p><a href=\"/\">foo</a></p>\n",
+
+		"[foo](./)\n",
+		"<p><a href=\"./\">foo</a></p>\n",
+
+		"[foo](../)\n",
+		"<p><a href=\"../\">foo</a></p>\n",
+
+		"[foo](../bar)\n",
+		"<p><a href=\"../bar\">foo</a></p>\n",
 	}
 	doTestsInlineParam(t, nofollowTests, 0, HTML_SAFELINK|HTML_NOFOLLOW_LINKS,
 		HtmlRendererParameters{})
@@ -483,6 +505,21 @@ func TestHrefTargetBlank(t *testing.T) {
 		"[foo](/bar/)\n",
 		"<p><a href=\"/bar/\">foo</a></p>\n",
 
+		"[foo](/)\n",
+		"<p><a href=\"/\">foo</a></p>\n",
+
+		"[foo](./)\n",
+		"<p><a href=\"./\">foo</a></p>\n",
+
+		"[foo](./bar)\n",
+		"<p><a href=\"./bar\">foo</a></p>\n",
+
+		"[foo](../)\n",
+		"<p><a href=\"../\">foo</a></p>\n",
+
+		"[foo](../bar)\n",
+		"<p><a href=\"../bar\">foo</a></p>\n",
+
 		"[foo](http://example.com)\n",
 		"<p><a href=\"http://example.com\" target=\"_blank\">foo</a></p>\n",
 	}
@@ -494,6 +531,15 @@ func TestSafeInlineLink(t *testing.T) {
 		"[foo](/bar/)\n",
 		"<p><a href=\"/bar/\">foo</a></p>\n",
 
+		"[foo](/)\n",
+		"<p><a href=\"/\">foo</a></p>\n",
+
+		"[foo](./)\n",
+		"<p><a href=\"./\">foo</a></p>\n",
+
+		"[foo](../)\n",
+		"<p><a href=\"../\">foo</a></p>\n",
+
 		"[foo](http://bar/)\n",
 		"<p><a href=\"http://bar/\">foo</a></p>\n",
 
@@ -541,6 +587,9 @@ func TestReferenceLink(t *testing.T) {
 
 		"[ref]\n   [ref]: /url/ \"title\"\n",
 		"<p><a href=\"/url/\" title=\"title\">ref</a></p>\n",
+
+		"[ref]\n   [ref]: ../url/ \"title\"\n",
+		"<p><a href=\"../url/\" title=\"title\">ref</a></p>\n",
 	}
 	doLinkTestsInline(t, tests)
 }