CLoth animation

Here is my problem: I created a character, then armature, then attached the character to the armature. Then I created some cloth and connected it to the character by using Ctrl + P and choosing Object in menu. But when I switched to Pose mode and created a pose the cloth just didn’t follow the body. It is shown in my screenshot.
Please, help! What can be done to solve the problem. Because I want to animate my character wit cloth on.