@Magnus回答，只有Swift(2.0)才会这样

    let transition = CATransition()
    transition.duration = 0.5
    transition.timingFunction = CAMediaTimingFunction(name: kCAMediaTimingFunctionEaseInEaseOut)
    transition.type = kCATransitionPush
    transition.subtype = kCATransitionFromTop
    self.navigationController!.view.layer.addAnimation(transition, forKey: nil)
    let writeView : WriteViewController = self.storyboard?.instantiateViewControllerWithIdentifier("WriteView") as! WriteViewController
    self.navigationController?.pushViewController(writeView, animated: false)

旁注:

你也可以用Segue做这个，只需要在prepareForSegue或shouldPerformSegueWithIdentifier中实现。但是，这也会保留默认动画。要解决这个问题，你必须转到故事板，单击Segue，取消选中“Animates”框。但这将限制你的应用在IOS 9.0及以上(至少当我在Xcode 7中这样做时)。

在segue中，最后两行应该替换为:

self.navigationController?.popViewControllerAnimated(false)

即使我设为false，它还是会忽略它。

只使用:

ViewController *viewController = [[ViewController alloc] init];

UINavigationController *navController = [[UINavigationController alloc] initWithRootViewController:viewController];
navController.navigationBarHidden = YES;

[self presentViewController:navController animated:YES completion: nil];
[viewController release];
[navController release];

@Magnus回答，只有Swift(2.0)才会这样

    let transition = CATransition()
    transition.duration = 0.5
    transition.timingFunction = CAMediaTimingFunction(name: kCAMediaTimingFunctionEaseInEaseOut)
    transition.type = kCATransitionPush
    transition.subtype = kCATransitionFromTop
    self.navigationController!.view.layer.addAnimation(transition, forKey: nil)
    let writeView : WriteViewController = self.storyboard?.instantiateViewControllerWithIdentifier("WriteView") as! WriteViewController
    self.navigationController?.pushViewController(writeView, animated: false)

旁注:

你也可以用Segue做这个，只需要在prepareForSegue或shouldPerformSegueWithIdentifier中实现。但是，这也会保留默认动画。要解决这个问题，你必须转到故事板，单击Segue，取消选中“Animates”框。但这将限制你的应用在IOS 9.0及以上(至少当我在Xcode 7中这样做时)。

在segue中，最后两行应该替换为:

self.navigationController?.popViewControllerAnimated(false)

即使我设为false，它还是会忽略它。

有UINavigationControllerDelegate和uiviewcontrolleranimatedtransiating你可以改变任何你想要的动画。

例如，这是VC的垂直流行动画:

@objc class PopAnimator: NSObject, UIViewControllerAnimatedTransitioning {

func transitionDuration(transitionContext: UIViewControllerContextTransitioning?) -> NSTimeInterval {
    return 0.5
}

func animateTransition(transitionContext: UIViewControllerContextTransitioning) {

    let fromViewController = transitionContext.viewControllerForKey(UITransitionContextFromViewControllerKey)!
    let toViewController = transitionContext.viewControllerForKey(UITransitionContextToViewControllerKey)!
    let containerView = transitionContext.containerView()
    let bounds = UIScreen.mainScreen().bounds
    containerView!.insertSubview(toViewController.view, belowSubview: fromViewController.view)
    toViewController.view.alpha = 0.5

    let finalFrameForVC = fromViewController.view.frame

    UIView.animateWithDuration(transitionDuration(transitionContext), animations: {
        fromViewController.view.frame = CGRectOffset(finalFrameForVC, 0, bounds.height)
        toViewController.view.alpha = 1.0
        }, completion: {
            finished in
            transitionContext.completeTransition(!transitionContext.transitionWasCancelled())
    })
}

}

然后

func navigationController(navigationController: UINavigationController, animationControllerForOperation operation: UINavigationControllerOperation, fromViewController fromVC: UIViewController, toViewController toVC: UIViewController) -> UIViewControllerAnimatedTransitioning? {
    if operation == .Pop {
        return PopAnimator()
    }
    return nil;
}

有用的教程 https://www.objc.io/issues/5-ios7/view-controller-transitions/

@Luca Davanzo的答案在Swift 4.2

public extension UINavigationController {

    /**
     Pop current view controller to previous view controller.

     - parameter type:     transition animation type.
     - parameter duration: transition animation duration.
     */
    func pop(transitionType type: CATransitionType = .fade, duration: CFTimeInterval = 0.3) {
        self.addTransition(transitionType: type, duration: duration)
        self.popViewController(animated: false)
    }

    /**
     Push a new view controller on the view controllers's stack.

     - parameter vc:       view controller to push.
     - parameter type:     transition animation type.
     - parameter duration: transition animation duration.
     */
    func push(viewController vc: UIViewController, transitionType type: CATransitionType = .fade, duration: CFTimeInterval = 0.3) {
        self.addTransition(transitionType: type, duration: duration)
        self.pushViewController(vc, animated: false)
    }

    private func addTransition(transitionType type: CATransitionType = .fade, duration: CFTimeInterval = 0.3) {
        let transition = CATransition()
        transition.duration = duration
        transition.timingFunction = CAMediaTimingFunction(name: CAMediaTimingFunctionName.easeInEaseOut)
        transition.type = type
        self.view.layer.add(transition, forKey: nil)
    }

}

这就是我总是设法完成这项任务的方法。

推动:

MainView *nextView=[[MainView alloc] init];
[UIView  beginAnimations:nil context:NULL];
[UIView setAnimationCurve:UIViewAnimationCurveEaseInOut];
[UIView setAnimationDuration:0.75];
[self.navigationController pushViewController:nextView animated:NO];
[UIView setAnimationTransition:UIViewAnimationTransitionFlipFromRight forView:self.navigationController.view cache:NO];
[UIView commitAnimations];
[nextView release];

流行:

[UIView  beginAnimations:nil context:NULL];
[UIView setAnimationCurve:UIViewAnimationCurveEaseInOut];
[UIView setAnimationDuration:0.75];
[UIView setAnimationTransition:UIViewAnimationTransitionFlipFromLeft forView:self.navigationController.view cache:NO];
[UIView commitAnimations];

[UIView beginAnimations:nil context:NULL];
[UIView setAnimationDelay:0.375];
[self.navigationController popViewControllerAnimated:NO];
[UIView commitAnimations];

我还是从这里得到了很多反馈所以我将继续更新它，使用动画块这是苹果推荐的制作动画的方法。 推动:

MainView *nextView = [[MainView alloc] init];
[UIView animateWithDuration:0.75
                         animations:^{
                             [UIView setAnimationCurve:UIViewAnimationCurveEaseInOut];
                             [self.navigationController pushViewController:nextView animated:NO];
                             [UIView setAnimationTransition:UIViewAnimationTransitionFlipFromRight forView:self.navigationController.view cache:NO];
                         }];

流行:

[UIView animateWithDuration:0.75
                         animations:^{
                             [UIView setAnimationCurve:UIViewAnimationCurveEaseInOut];
                             [UIView setAnimationTransition:UIViewAnimationTransitionFlipFromLeft forView:self.navigationController.view cache:NO];
                         }];
[self.navigationController popViewControllerAnimated:NO];