Try like this..
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<script src="jquery-1.10.2.js" type="text/javascript"></script>
<script type="text/javascript">
$(function () {
$('#RadioButtonList1 input').change(function () {
var index = $('#RadioButtonList1 input').index(this);
$('#RadioButtonList2 input').each(function (_index, item) {
if (_index == index) {
$(item).prop('checked', true);
}
});
});
});
</script>
</head>
<body>
<form id="form1" runat="server">
<asp:RadioButtonList runat="server" ID="RadioButtonList1">
<asp:ListItem Text="one" />
<asp:ListItem Text="two" />
<asp:ListItem Text="three" />
</asp:RadioButtonList>
<asp:RadioButtonList runat="server" ID="RadioButtonList2">
<asp:ListItem Text="one" />
<asp:ListItem Text="two" />
<asp:ListItem Text="three" />
</asp:RadioButtonList>
</form>
</body>
</html>
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