We cannot exactly replicate the other website but still i have created this much.
HTML
<html xmlns="http://www.w3.org/1999/xhtml">
<head runat="server">
<title></title>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/1.6/jquery.min.js" type="text/javascript"></script>
<script src="https://ajax.googleapis.com/ajax/libs/jqueryui/1.8/jquery-ui.min.js"
type="text/javascript"></script>
<link href="https://ajax.googleapis.com/ajax/libs/jqueryui/1.8/themes/base/jquery-ui.css"
rel="Stylesheet" type="text/css" />
<script type="text/javascript">
$(function () {
$('#txtDate').datepicker({
dateFormat: "dd/MM/yy",
changeMonth: true,
changeYear: true
});
});
</script>
<style type="text/css">
body
{
font-family: Arial;
font-size: 10pt;
}
#txtDate
{
background-image: url(https://i.imgur.com/u6upaAs.png);
background-repeat: no-repeat;
padding-left: 25px;
}
</style>
</head>
<body>
<form id="form1" runat="server">
<div>
<input id="txtDate" type="text" name="name" />
</div>
</form>
</body>
</html>
Demo