Where is it dripping from?
If it is dripping from the overflow hose first check that the screw isn't loose (it should seal when it is properly snug but don't overtighten it either.
If that doesn't help turn off the petcock, put a container under the drain hose and loosen the drain screw to drain the carb, then tap on the side of the float bowl a few times with the handle of a screwdriver (sometimes loosens debris caught in the float valve), do up the drain screw, turn the petcock on and start the bike to see if it still drips.
If that doesn't fix it you will need to have the float bowl off to clean the float valve's needle & seat (a Q-tip dipped in methanol works well for things like that) and check the brass overflow tube inside the bowl for cracks.
If it is dripping from anywhere else you will need to figure out where.