Retrieve Facebook Post Comments Using Graph API

In order to get the Like count and the comment count then you need to use a combination of the PostOwnerID and PostID not just the PostID

So for your example it would be:

https://graph.facebook.com/153125724720582_184234384932460/comments

Again, as mentioned in some of the other answers you need to use the https method along with an auth_token

I experienced the same problem with comments. The issue was that I was using an access token for a test user. Because test users don't have access to other FB users information, only the comments from pages were shown.

You need to call it from a secure request https and provide an access_token:

https://graph.facebook.com/19292868552_118464504835613/comments?access_token=XXX

EDIT:
Added the object from the post document. try clicking the comments connection and then remove the access_token and try and see the difference.