<!DOCTYPE HTML>
<html>
<head><style>label{display:inline-block}</style> </head>
<body>
<div id="parent">
<label>
<img class = "link-img" src="//javascript.ru/forum/images/smilies/yes4.gif" /><br />
<input type="radio" name="bla" />
</label>
<label>
<img class = "link-img" src="//javascript.ru/forum/images/smilies/tongue.gif" /><br />
<input type="radio" name="bla" />
</label>
</div>
<script>
var pr = document.getElementById("parent");
pr.onclick = function (e) {
var target = event.srcElement || e.target;
if(target.className != "link-img") return;
var elem = target.parentNode.getElementsByTagName("input")[0];
elem.checked = true;
};
</script>
</body>
</html>