Green saved Jermain Defoe's spot kick in injury time to secure a point for the Hammers after the striker had been brought down by Lucas Neill.
It ended 1-1 after another topsy-turvy match at Upton Park as the home side took the lead in the first half and Michael Dawson levelled midway through the second half.
"I was thinking it was going to be a last-minute job again," said Curbishley. "We'd just dropped two points against Bolton but whereas that felt like a defeat afterwards, this feels like a win.
"It have been harsh if we'd have been done in the last minute like that.
"It was a tough game against a resurgent Spurs side playing with a bit more freedom but I was delighted with my boys.
"Robert Green said sorry for the first goal because when you come for the ball you've got to come and get it but what he did at the end of the game made up for it.
"Ramos changed things around (in the second half) and that caused us a few problems - a draw was a fair result in the end."
West Ham boss Alan Curbishley said Sunday's draw 'felt like a win' after Robert Green's late, late penalty heroics.