非常简单

self.navigationController?.view.semanticContentAttribute = .forceRightToLeft

@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)
    }

}

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/

@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。

我知道这个帖子很旧了，但我想我应该发表我的意见。你不需要制作一个自定义动画，有一个简单(可能是hack)的方法来做它。不使用push，而是创建一个新的导航控制器，使新的视图控制器成为那个nav控制器的根视图控制器，然后从原始的nav控制器中呈现出nav控制器。现在是很容易自定义的许多风格，不需要做一个自定义动画。

例如:

UIViewcontroller viewControllerYouWantToPush = UIViewController()
UINavigationController newNavController = UINavigationController(root: viewControllerYouWantToView)
newNavController.navBarHidden = YES;
self.navigationController.present(newNavController)

你可以随心所欲地改变演示风格。

使用iJordan的答案作为灵感，为什么不简单地在UINavigationController上创建一个Category来在整个应用程序中使用，而不是复制/粘贴这个动画代码的所有地方?

UINavigationController + Animation.h

@interface UINavigationController (Animation)

- (void) pushViewControllerWithFlip:(UIViewController*) controller;

- (void) popViewControllerWithFlip;

@end

UINavigationController+Animation.m

@implementation UINavigationController (Animation)

- (void) pushViewControllerWithFlip:(UIViewController *) controller
{
    [UIView animateWithDuration:0.50
                     animations:^{
                         [UIView setAnimationCurve:UIViewAnimationCurveEaseInOut];
                         [self pushViewController:controller animated:NO];
                         [UIView setAnimationTransition:UIViewAnimationTransitionFlipFromRight forView:self.view cache:NO];
                     }];
}

- (void) popViewControllerWithFlip
{
    [UIView animateWithDuration:0.5
                     animations:^{
                         [UIView setAnimationCurve:UIViewAnimationCurveEaseInOut];
                         [UIView setAnimationTransition:UIViewAnimationTransitionFlipFromRight forView:self.view cache:NO];
                     }];

    [self popViewControllerAnimated:NO];
}

@end

然后简单地导入UINavigationController+Animation.h文件并正常调用它:

[self.navigationController pushViewControllerWithFlip:[[NewViewController alloc] init]];

[self.navigationController popViewControllerWithFlip];