If a father receives disability is his child entitled to benefits?

Yes, they can I think so long as they're under 18.
Check this link out: http://www.ssa.gov/pubs/10085.pdf
It has all the basics.

Its possible it could go either way depending on what the person is actually receiving. Often people confuse SSDi with SSI. In one case SSDi then there may be a benefit paid out to children. In the case of SSI there is no supplemental payment.