West Ham manager Alan Pardew admitted he was 'over-zealous' in the celebrations which led to an angry confrontation with Arsenal boss Arsene Wenger.
Yesterday's 1-0 victory over Arsenal at Upton Park was overshadowed by the managers being separated after Marlon Harewood's late winner and the pair refused to shake hands at the final whistle.
In a hot-tempered London derby, Gunners forward Robin van Persie appeared to be struck by a coin from the crowd in the first half, with Hammers officials studying CCTV to identify the culprit.
It meant back-to-back Premiership wins for Pardew's men, who had lost their previous eight matches before last weekend's win over Blackburn, but who are now out of the relegation zone.
Their manager admitted the relief of victory was the cause of his reaction, saying: 'If I was over-zealous in my celebrations - which I'm sure I was - I apologise fully to Arsene Wenger and Arsenal Football Club.
'We've had a tough old season here and maybe it came out. He was annoyed with that, maybe quite rightly so, but I hope that I can iron that out and (we will) be big enough to look each other in the eye.
'I've got great respect for him, and that won't change.'
Van Persie, who was jeered throughout, was eventually substituted in the second half, and Pardew called for a lifetime ban if any fan is found guilty of throwing a coin.
'I asked the bench if something happened,' he said. 'West Ham fans have been absolutely brilliant this season - we have the odd incident like most clubs but it would be a shame if that spoils what is our day.
'That one fan should be ashamed, and I hope we can see him on CCTV and never let him come back to the ground again.'
The ugly incident threatened to overshadow a spirited Hammers performance, with the pace of the game changing when Harewood and Teddy Sheringham were brought off the bench just past the hour mark.
'We obviously had a gameplan, we loaded the bench with strikers hoping that we could get ourselves in a position to win it,' Pardew said.
'Sometimes you set up contingency plans and it goes astray - it worked for us today.
'Bobby Zamora worked so hard for the team to put us in the position for Teddy and Marlon to grab the headlines - although I don't think they will be the headlines.'
Meanwhile, Anton Ferdinand will have a scan on an Achilles injury that eventually forced him off just before half-time.