I have a UIView and and I have added tap gesture to it:
let tap = UITapGestureRecognizer(target: self, action: Selector(\"handleTap:\"))
tap.delegate = self         
        If you want Objective C code is given below,
UITapGestureRecognizer *gesRecognizer = [[UITapGestureRecognizer alloc] initWithTarget:self action:@selector(handleTap:)]; // Declare the Gesture.
gesRecognizer.delegate = self;
[yourView addGestureRecognizer:gesRecognizer]; // Add Gesture to your view.
// Declare the Gesture Recognizer handler method.
- (void)handleTap:(UITapGestureRecognizer *)gestureRecognizer{
   NSLog(@"Tapped");
}
or you want swift code is given below,
import UIKit
class ViewController: UIViewController {
    @IBOutlet weak var myView: UIView!
    override func viewDidLoad() {
        super.viewDidLoad()
        // Add tap gesture recognizer to view
        let tapGesture = UITapGestureRecognizer(target: self, action: Selector("handleTap:"))
        myView.addGestureRecognizer(tapGesture)
    }
    // this method is called when a tap is recognized
    func handleTap(sender: UITapGestureRecognizer) {
        print("tap")
    }
}
Instead of invoking myView's UITapGestureRecognizer, you can directly call the handleTap function,
For anyone who is looking for Swift 3 solution
let tap = UITapGestureRecognizer(target: self, action: #selector(self.handleTap(_:)))
view.addGestureRecognizer(tap)
view.isUserInteractionEnabled = true
self.view.addSubview(view)
// function which is triggered when handleTap is called
 func handleTap(_ sender: UITapGestureRecognizer) {
     print("Hello World")
  }
I worked out on Xcode 6.4 on swift. See below.
var view1: UIView!
func assignTapToView1() {          
  let tap = UITapGestureRecognizer(target: self, action: Selector("handleTap"))
  //  tap.delegate = self
  view1.addGestureRecognizer(tap)
  self.view .addSubview(view1)
...
}
func handleTap() {
 print("tap working")
 view1.removeFromSuperview()
 // view1.alpha = 0.1
}
Here is the simplest way to add Gestures on View in Swift 5
import UIKit
class ViewController: UIViewController {
    override func viewDidLoad() {
        super.viewDidLoad()
        addGestures()
    }
    // MARK: Add Gestures to target view
    func addGestures()
    {
        // 1. Single Tap or Touch
        let tapGesture = UITapGestureRecognizer(target: self, action: #selector(self.tapGetstureDetected))
        tapGesture.numberOfTapsRequired = 1
        view.addGestureRecognizer(tapGesture)
        //2. Double Tap
        let doubleTapGesture = UITapGestureRecognizer(target: self, action: #selector(self.doubleTapGestureDetected))
        doubleTapGesture.numberOfTapsRequired = 2
        view.addGestureRecognizer(doubleTapGesture)
        //3. Swipe
        let swipeGesture = UISwipeGestureRecognizer(target: self, action: #selector(self.swipeGetstureDetected))
        view.addGestureRecognizer(swipeGesture)
        //4. Pinch
        let pinchGesture = UIPinchGestureRecognizer(target: self, action: #selector(self.pinchGetstureDetected))
        view.addGestureRecognizer(pinchGesture)
        //5. Long Press
        let longPressGesture = UILongPressGestureRecognizer(target: self, action: #selector(self.longPressGetstureDetected))
        view.addGestureRecognizer(longPressGesture)
        //6. Pan
        let panGesture = UILongPressGestureRecognizer(target: self, action: #selector(self.panGestureDetected))
        view.addGestureRecognizer(panGesture)
    }
    // MARK: Handle Gesture detection
    @objc func swipeGetstureDetected() {
        print("Swipe Gesture detected!!")
    }
    @objc func tapGetstureDetected() {
        print("Touch/Tap Gesture detected!!")
    }
    @objc func pinchGetstureDetected() {
        print("Pinch Gesture detected!!")
    }
    @objc func longPressGetstureDetected() {
        print("Long Press Gesture detected!!")
    }
    @objc func doubleTapGestureDetected() {
        print("Double Tap Gesture detected!!")
    }
    @objc func panGestureDetected()
    {
        print("Pan Gesture detected!!")
    }
    //MARK: Shake Gesture
    override func becomeFirstResponder() -> Bool {
        return true
    }
    override func motionEnded(_ motion: UIEvent.EventSubtype, with event: UIEvent?){
        if motion == .motionShake
        {
            print("Shake Gesture Detected")
        }
    }
}
I worked out on Xcode 7.3.1 on Swift 2.2. See below.
func addTapGesture() {
    let tap = UITapGestureRecognizer(target: self, action: #selector(MyViewController.handleTap))
    tap.numberOfTapsRequired = 1
    self.myView.addGestureRecognizer(tap)
}
func handleTap() {
    // Your code here...
}