Add Jquery UI(Combined Library) using Manage Nuget packages to your solution
Add references to your view.
<link href="@Url.Content("~/Content/themes/base/minified/jquery-ui.min.css")" rel="stylesheet" />
<script src="@Url.Content("~/Scripts/jquery-1.7.1.min.js")"></script>
<script src="@Url.Content("~/Scripts/jquery-ui-1.10.4.min.js")"></script>
call datetime picker for TextBox
<script type="text/javascript">$(function(){
$(".date-picker").datepicker();
});</script>
Text Box control
@Html.TextBox("YourTextBox", "", new { @class = "date-picker" })