diff --git a/README.md b/README.md
index 0a652fae..83896670 100644
--- a/README.md
+++ b/README.md
@@ -97,12 +97,33 @@ let g:vim_markdown_frontmatter=1
 
 The following work on normal and visual modes:
 
-- `]]`: go to next header. `<Plug>(Markdown_MoveToNextHeader)`
-- `[[`: go to previous header. Contrast with `]c`. `<Plug>(Markdown_MoveToPreviousHeader)`
-- `][`: go to next sibling header if any. `<Plug>(Markdown_MoveToNextSiblingHeader)`
-- `[]`: go to previous sibling header if any. `<Plug>(Markdown_MoveToPreviousSiblingHeader)`
-- `]c`: go to Current header. `<Plug>(Markdown_MoveToCurHeader)`
-- `]u`: go to parent header (Up). `<Plug>(Markdown_MoveToParentHeader)`
+-   `gx`: open the link under the cursor in the same browser as the standard `gx` command.
+
+    The standard `gx` is extended by allowing you to put your cursor anywhere inside a link.
+
+    For example, all the following cursor positions will work:
+
+        [Example](http://example.com)
+        ^  ^    ^^   ^       ^
+        1  2    34   5       6
+
+        <http://example.com>
+        ^  ^               ^
+        1  2               3
+
+    Known limitation: does not work for links that span multiple lines.
+
+-   `]]`: go to next header. `<Plug>(Markdown_MoveToNextHeader)`
+
+-   `[[`: go to previous header. Contrast with `]c`. `<Plug>(Markdown_MoveToPreviousHeader)`
+
+-   `][`: go to next sibling header if any. `<Plug>(Markdown_MoveToNextSiblingHeader)`
+
+-   `[]`: go to previous sibling header if any. `<Plug>(Markdown_MoveToPreviousSiblingHeader)`
+
+-   `]c`: go to Current header. `<Plug>(Markdown_MoveToCurHeader)`
+
+-   `]u`: go to parent header (Up). `<Plug>(Markdown_MoveToParentHeader)`
 
 ## Commands
 
diff --git a/ftplugin/mkd.vim b/ftplugin/mkd.vim
index 63d7914d..a2e7b5eb 100644
--- a/ftplugin/mkd.vim
+++ b/ftplugin/mkd.vim
@@ -411,6 +411,100 @@ function! s:TableFormat()
   call setpos('.', l:pos)
 endfunction
 
+" Parameters:
+"
+" - step +1 for right, -1 for left
+"
+" TODO: multiple lines.
+"
+function! s:FindCornerOfSyntax(lnum, col, step)
+    let l:col = a:col
+    let l:syn = synIDattr(synID(a:lnum, l:col, 1), 'name')
+    while synIDattr(synID(a:lnum, l:col, 1), 'name') ==# l:syn
+        let l:col += a:step
+    endwhile
+    return l:col - a:step
+endfunction
+
+" Return the next position of the given syntax name,
+" inclusive on the given position.
+"
+" TODO: multiple lines
+"
+function! s:FindNextSyntax(lnum, col, name)
+    let l:col = a:col
+    let l:step = 1
+    while synIDattr(synID(a:lnum, l:col, 1), 'name') !=# a:name
+        let l:col += l:step
+    endwhile
+    return [a:lnum, l:col]
+endfunction
+
+function! s:FindCornersOfSyntax(lnum, col)
+    return [<sid>FindLeftOfSyntax(a:lnum, a:col), <sid>FindRightOfSyntax(a:lnum, a:col)]
+endfunction
+
+function! s:FindRightOfSyntax(lnum, col)
+    return <sid>FindCornerOfSyntax(a:lnum, a:col, 1)
+endfunction
+
+function! s:FindLeftOfSyntax(lnum, col)
+    return <sid>FindCornerOfSyntax(a:lnum, a:col, -1)
+endfunction
+
+" Returns:
+"
+" - a string with the the URL for the link under the cursor
+" - an empty string if the cursor is not on a link
+"
+" `b:` instead of `s:` to make it testable.
+"
+" TODO
+"
+" - multiline support
+" - give an error if the separator does is not on a link
+"
+function! b:Markdown_GetUrlForPosition(lnum, col)
+    let l:lnum = a:lnum
+    let l:col = a:col
+    let l:syn = synIDattr(synID(l:lnum, l:col, 1), 'name')
+
+    if l:syn ==# 'mkdInlineURL' || l:syn ==# 'mkdURL' || l:syn ==# 'mkdLinkDefTarget'
+        " Do nothing.
+    elseif l:syn ==# 'mkdLink'
+        let [l:lnum, l:col] = <sid>FindNextSyntax(l:lnum, l:col, 'mkdURL')
+        let l:syn = 'mkdURL'
+    elseif l:syn ==# 'mkdDelimiter'
+        let l:line = getline(l:lnum)
+        let l:char = l:line[col - 1]
+        if l:char ==# '<'
+            let l:col += 1
+        elseif l:char ==# '>' || l:char ==# ')'
+            let l:col -= 1
+        elseif l:char ==# '[' || l:char ==# ']' || l:char ==# '('
+            let [l:lnum, l:col] = <sid>FindNextSyntax(l:lnum, l:col, 'mkdURL')
+        else
+            return ''
+        endif
+    else
+        return ''
+    endif
+
+    let [l:left, l:right] = <sid>FindCornersOfSyntax(l:lnum, l:col)
+    return getline(l:lnum)[l:left - 1 : l:right - 1]
+endfunction
+
+" Front end for GetUrlForPosition.
+"
+function! s:OpenUrlUnderCursor()
+    let l:url = b:Markdown_GetUrlForPosition(line('.'), col('.'))
+    if l:url != ''
+        call netrw#NetrwBrowseX(l:url, 0)
+    else
+        echomsg 'The cursor is not on a link.'
+    endif
+endfunction
+
 call <sid>MapNormVis('<Plug>(Markdown_MoveToNextHeader)', '<sid>Markdown_MoveToNextHeader')
 call <sid>MapNormVis('<Plug>(Markdown_MoveToPreviousHeader)', '<sid>Markdown_MoveToPreviousHeader')
 call <sid>MapNormVis('<Plug>(Markdown_MoveToNextSiblingHeader)', '<sid>Markdown_MoveToNextSiblingHeader')
@@ -419,6 +513,7 @@ call <sid>MapNormVis('<Plug>(Markdown_MoveToPreviousSiblingHeader)', '<sid>Markd
 call <sid>MapNormVis('<Plug>(Markdown_MoveToParentHeader)', '<sid>Markdown_MoveToParentHeader')
 " Menmonic: Current
 call <sid>MapNormVis('<Plug>(Markdown_MoveToCurHeader)', '<sid>Markdown_MoveToCurHeader')
+nnoremap <Plug>(OpenUrlUnderCursor) :call <sid>OpenUrlUnderCursor()<cr>
 
 if !get(g:, 'vim_markdown_no_default_key_mappings', 0)
     nmap <buffer> ]] <Plug>(Markdown_MoveToNextHeader)
@@ -427,6 +522,7 @@ if !get(g:, 'vim_markdown_no_default_key_mappings', 0)
     nmap <buffer> [] <Plug>(Markdown_MoveToPreviousSiblingHeader)
     nmap <buffer> ]u <Plug>(Markdown_MoveToParentHeader)
     nmap <buffer> ]c <Plug>(Markdown_MoveToCurHeader)
+    nmap <buffer> gx <Plug>(OpenUrlUnderCursor)
 
     vmap <buffer> ]] <Plug>(Markdown_MoveToNextHeader)
     vmap <buffer> [[ <Plug>(Markdown_MoveToPreviousHeader)
diff --git a/test/map.vader b/test/map.vader
index 6cf0cee7..51bde78b 100644
--- a/test/map.vader
+++ b/test/map.vader
@@ -1,3 +1,51 @@
+Given mkd;
+a <http://b> c
+
+Execute (gx autolink):
+  let b:url = 'http://b'
+  let b:line = getline(1)
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, 'a') + 1), ''
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, '<') + 1), b:url
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, 'h') + 1), b:url
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, '>') + 1), b:url
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, 'c') + 1), ''
+
+Given mkd;
+a http://b.bb c
+
+Execute (gx implicit autolink):
+  let b:url = 'http://b.bb'
+  let b:line = getline(1)
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, 'a') + 1), ''
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, 'h') + 1), b:url
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, 'c') + 1), ''
+
+Given mkd;
+[a]: http://b "c"
+
+Execute (gx link reference definition):
+  let b:url = 'http://b'
+  let b:line = getline(1)
+  " TODO would be cool if all of the following gave the link.
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, 'a') + 1), ''
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, 'h') + 1), b:url
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, 'c') + 1), ''
+
+Given mkd;
+a [b](c) d
+
+Execute (gx autolink):
+  let b:url = 'c'
+  let b:line = getline(1)
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, 'a') + 1), ''
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, '[') + 1), b:url
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, 'b') + 1), b:url
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, ']') + 1), b:url
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, '(') + 1), b:url
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, 'c') + 1), b:url
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, ')') + 1), b:url
+  AssertEqual b:Markdown_GetUrlForPosition(1, match(b:line, 'd') + 1), ''
+
 Given mkd;
 # a