Leon Spinks used a big, overhand right to knock out Alfredo Egangelista in the fifth round today and pave the way for another shot at regaining the world heavyweight title.

Evangelista, 32-5-2, had Spinks in trouble in the second round of the scheduled 10-round bout but tired and fell from Spinks' crushing blow at 2:43 of the fifth round.

This was a crucial fight for Spinks, 8-2-1, who is trying to come back from losing his heavyweight crown to Muhammad Ali in September 1978 and being humiliated by Gerrie Coetzee in one round in June 1979. Sprinks won the heavyweight title in February 1978 by beating Ali in a 15-round decision. t

Fighting in a nationally televised bout, Spinks tried to work on Evangelista with right uppercuts and over hand rights from the start. In the second round, Evangelista drew blood from Spinks' mouth and had the 26-year-old former Olympic light-heavy-weight chamb in serious trouble on the ropes.

Evangelista tried to use big left hooks to knock down Spinks, but could not keep up the pressure.

Spinks weighed in at 209 pounds, Evangelista at 222.

In an earlier bout on the card, Derrik Holmes of New Carrollton, Md., stopped Livio Nolasco in the second round of their scheduled eight-round super-bantamweight fight.

Holmes, 19, showing blazing speed and a hard right hand, took control of the fight and stopped Nolasco near the end of the round.

Holmes, 122 1/2 pounds, increased his record to 12-0-1. Nolasco, 28, of Santo Domingo, Dominican Republic, is 20-7. He fought at 122 pounds.