The Scotland international made his home debut for Vancouver Whitecaps on Wednesday night, scoring his first MLS goal to make it 2-0 in the 27th minute, against Beckham's LA Galaxy before the game eventually ended in a 2-2 draw.
Robson and Beckham clashed on a number of occasions in midfield and also exchanged words throughout the match but the ex-Middlesbrough man made it clear that it was simply the heat of a competitive match which forced him to act so strongly.
"He's a terrific footballer and he's a great ambassador for the game," Robson said. "A lot of people look up to him.
"He's a terrific talent and a nice guy as well. When you're on a football pitch I'm sure it doesn't matter who anybody is, and I don't care who anybody is.
"So at the end of the day, I'm just trying to win it for my team and he's trying to win it for his."