My household run by DG set. No power in powersockets.can I run AC using triple booster plugged in to normal socket. Voltage is 240v(approx)?

If I am getting your question right, you want to plug in your AC to a normal 230 volt 5/15 amp. Socket that is connected to a diesel generator whose output is 230 volt AC.

Yes, only if it is a normal power socket (15 amp.), to remain on safe side for current requirement of AC.