Is the OP referring to a PORTABLE generator similar to this (and weighs about 100 lbs)
Or--- is the OP referring to a permanent mount generator similar to this............
The second generator shown is designed to be permanently mounted, usually underneath a trailer, either using fabricated brackets or the kit linked to in post #4.
I have one of those underneath my trailer, a 2500 watt LP fueled model.
If you have a portable unit, you might consider mounting it on the tongue using a
Stromberg Carlson A-frame cargo carrier, and if you feel it needs to be more secure, a
Stromberg Carlson Gen Secure II Generator Storage Box can be added to it (for an exorbitant amount of money!)
Mounting something heavy on the back of a trailer is asking for sway/handling problems. I have seen photos or videos of several trailers involved in sway accidents that had generators or other heavy stuff attached to the back of the trailer. I all fairness however, I have also see as many pics or videos of trailers that did NOT have anything on the back of them, but no telling what % of tongue weight any of them had.
Below about 13% tongue weight my trailer is quite squirrely handling and I don't keep anything significant in the rear storage compartment under the bed because of this. At about 13% or above, the trailer is a dream to tow. A change of a few pounds moved from the back to the front made the difference.