I want to know if I can open investment account under minor name, and my name as secondary. So that I have to pay capital gain on the lower tax bracket. I know you can have bank/cd account and you don't have to pay tax on the first $750 under their name. Just want to do for Investment account so capital gain comes under lower tax.

Any one knows or do this?

I'm fairly certain you can do this. I also believe that this would legally make the money the child's. In short, if the kid is paying the taxes (filing) it's the kid's cash. You'd be acting as custodian of the money, and the kid would have a strong case for kicking your rear (literally as well as in court) if you withdrew everything when they were 17 and closed the account.

Long term capital gains taxes are pretty low right now. I don't know that I would go through this pain.

Just remember, I'm some know nothing on t3h intarwebs.

UGMA - Uniform Gift to Minors Act

So that I have to pay capital gain on the lower tax bracket.

What you are proposing will not work. If an auditor catches you, he will readjust both your claim and your child's as if the capital gain was yours.