In unity3D, Click = Touch?

I want to detect click/touch event on my gameObject 2D.

And this is my code:

void Update()
{
   if (Input.touchCount > 0)
   {
     Debug.Log("Touch");
   }
}

Debug.Log("Touch"); does not show when I click on screen or my gameObject.

Solution

Short answer: yes, touch may be handled with Input.GetMouseButtonDown().

Input.GetMouseButtonDown(), Input.mousePosition, and associated functions work as tap on the touch screen (which is kind of odd, but welcome). If you don't have a multi-touch game, this is a good way to keep the in-editor game functioning well while still keeping touch input for devices. ^{(source: Unity Community)}
Mouse simulation with touches can be enabled/disabled with Input.simulateMouseWithTouches option. By default, this option is enabled.
Though it is good for testing, I believe Input.GetTouch() should be used in production code (because it is able to handle simultaneous touches).

Interesting approach is to add touch handling to OnMouseUp()/OnMouseDown() event:

  //  OnTouchDown.cs
  //  Allows "OnMouseDown()" events to work on the iPhone.
  //  Attach to the main camera.

  using UnityEngine;
  using System.Collections;
  using System.Collections.Generic;

  public class OnTouchDown : MonoBehaviour {
      void Update () {
          // Code for OnMouseDown in the iPhone. Unquote to test.
          RaycastHit hit = new RaycastHit();
          for (int i = 0; i < Input.touchCount; ++i)
              if (Input.GetTouch(i).phase.Equals(TouchPhase.Began)) {
                  // Construct a ray from the current touch coordinates
                  Ray ray = Camera.main.ScreenPointToRay(Input.GetTouch(i).position);
                  if (Physics.Raycast(ray, out hit))
                      hit.transform.gameObject.SendMessage("OnMouseDown");
              }
      }
  }

^{(source: Unity Answers)}

UPD.: There is Unity Remote mobile app for simulating touching in editor mode (works with Unity Editor 4 and Unity Editor 5).