problem in my site link

for example – i add a new post .post name = my home, and it url is http://www.mysite.com/my-home/ … and i add a image in same post name, image name home,,, so google is showing my post in search when some one search my home in search but url is http://www.mysite.com/my-home/home/ and when some one click one search result only image is opening.

than what is reason ? what i do so my site do not create this type of link.