I agree with ManiKumar for examples we can check these links http://www.c-sharpcorner.com/UploadFile/3d39b4/working-with-html-beginform-and-ajax-beginform-in-mvc-3/http://www.codeproject.com/Articles/429164/Html-BeginForm-vs-Ajax-BeginForm-in-MVC
Ajax:1. Won't redirect the form even you do a RedirectAction().2. Will perform save , update and any modification operations asynchronously.3. Validate the Form using FormMethods - OnSubmit. So you are abort the Post4. This creates a form that submits its values using an asynchronous ajax request. This allows a portion of the page to be update without requiring that the entire page be refreshed.Html :1. Will redirect the form.2. Will perform operations both Synchronously and Asynchronously (With some extra code and care).3. Html.BeginForm will always use RouteTable to detrmine the action attribute value.4. This will create a form on the page that submits its values to the server as a synchronous HTTP request, refreshing the entire page in the process.
Html.BeginForm() will create a form on the page that submits its values to the server as a synchronous HTTP request, refreshing the entire page in the process. Ajax.BeginForm() creates a form that submits its values using an asynchronous ajax request. This allows a portion of the page to be update without requiring that the entire page be refreshed.