Butch Goring scored three times, twice with his team short-handed and once on a power play, to lead the New York Islanders over the Pittsburgh Penguins, 9-0, in a penalty-marred game last night.

It was the home opener for the three-time defending National Hockey League champions and they never let up on the Penguins, who had extended the Islanders to overtime in the fifth game of last spring's opening playoff round. The victory extended New York's unbeaten streak at home to 22-0-2 since Dec. 29, 1981.

Goring, the Islanders' fourth-line center, got short-handed goals seven minutes apart in the opening period. With Bob Nystrom in the penalty box, Goring took a pass from Ken Morrow and beat goalie Denis Herron on a breakaway at 9:43. At 16:43, Islander defenseman Denis Potvin took a loose puck behind his net, whirled and fired a perfect pass to a breaking Goring at center ice. Goring again beat Herron.

The veteran center, completing his hat trick at 13 minutes of the middle period, give the Islanders a 6-0 lead by converting a pass from John Tonelli on a power play.

It was Billy Smith's first shutout since March 12, 1981.

Penalties totaling 243 minutes were assessed, most after a third-period brawl.

Prior to the game, the Islanders unfurled their championship banner from last season and Potvin carried the Stanley Cup around the ice.