jQuery UI DatePicker is one of the best date selection control available and it is most popular as well. DatePicker control doesn't have any option to provide time selection settings. But there is an addon "TimePicker" which adds a timepicker to jQuery UI Datepicker.
Please keep in mind that the datepicker and slider components (jQueryUI) are required for using this addon. Also, In addition all datepicker options are still available through the timepicker addon.
The beauty of this addon is that it provide great deal of customization options.Please visit the official website to find out all the available options.