If your segue exists in the storyboard with a segue identifier between your two views, you can just call it programmatically using
self.performSegueWithIdentifier("yourIdentifierInStoryboard", sender: self)
If you are in Navigation controller
let viewController = YourViewController(nibName: "YourViewController", bundle: nil)
self.navigationController?.pushViewController(viewController, animated: true)
I will recommend you for second approach using navigation controller.