Jquery dialog partial view server side validation on Save button click

You should try unobstrusive Client side Validation Example

JQuery

$('#BTN').click(function () {
    var $formContainer = $('#formContainer');
    var url = $formContainer.attr('data-url');
    $formContainer.load(url, function () {
        var $form = $('#myForm');
        $.validator.unobtrusive.parse($form);
        $form.submit(function () {
            var $form = $(this);
            if ($form.valid()) {
                $.ajax({
                    url: url,
                    async: true,
                    type: 'POST',
                    data: JSON.stringify("Your Object or parameter"),
                    beforeSend: function (xhr, opts) {
                    },
                    contentType: 'application/json; charset=utf-8',
                    complete: function () { },
                    success: function (data) {
                        $form.html(data);
                        $form.removeData('validator');
                        $form.removeData('unobtrusiveValidation');
                        $.validator.unobtrusive.parse($form);
                    }
                });
            }
            return false;
        });
    });
    return false;
});

View

<div id="formContainer" data-url="@Url.Action("ActionName", "ControllerName", 
                                             new { area = "Area Name" })"></div>
<input id="BTN" type="button" value="Button" />

Model

public class SampleModule
{
    [Required]
    public String MyName { get; set; }
}

Partial View

@using (Html.BeginForm("Action Name", "Controller Name", FormMethod.Post, 
                       new { id = "myForm" }))
{
    @Html.LabelFor(i => i.MyName)
    @Html.TextBoxFor(i => i.MyName)
    @Html.ValidationMessageFor(i => i.MyName)
    <p id="getDateTimeString"></p>
   <input type="button" value="Button" />        
}

References

<script src="https://stackoverflow.com/Scripts/jquery-1.4.1.min.js" type="text/javascript"></script>
<script src="/Scripts/jquery.validate.js" type="text/javascript"></script>
<script src="/Scripts/jquery.validate.unobtrusive.js" type="text/javascript">
</script>