Yes, you can claim your child. Although I have a strong suspicion that your question is incomplete. Whether or not you can claim your child has nothing to do with your actual income. Also, there isn't a "Child Benefit". You are perhaps confusing us with Canada?
Take your question to a local H&R Block office, give them all the facts, and see what they have to say.
Depending on your living arrangement and age, it may be more beneficial for someone else to claim you, and/or your child.
Snipes