The personal animosity between the pair became public during the Players Championship at Sawgrass earlier this month, when they were paired together in the third round.
Garcia felt he had been disturbed on his approach to the second hole when spectators cheered Woods for taking a fairway wood out of his bag, indicating he would try to reach the green from his position in the trees.
"He's not my favourite guy to play with," the Spaniard said. "He's not the nicest guy on Tour. We don't like each other. It doesn't take a rocket engineer to figure that out. He is who he is. I am who I am. It's best we're not playing together again."
Asked yesterday if he would call Garcia to clear the air, Woods simply said "No".
And speaking today ahead of the BMW PGA Championship at Wentworth, Garcia said: "Obviously you can't like everybody. I think there's people that you connect with and there's people that you don't. It's pretty much as simple as that.
"He doesn't need me in his life, I don't need him in mine, let's move on and keep doing what we're doing. It's never really been a true connection like I would have with maybe with Luke (Donald) or Lee (Westwood) or Adam Scott or some of the other guys that I get along with well.
"It's fine. It doesn't mean that I cannot play with him. It's just another player, obviously a good player. It's just when I'm playing with someone I enjoy, there's a bit more talking going round and when you're playing with someone that you don't fancy as much you're just a little bit quiet."
Garcia has not played in the European Tour's flagship event since finishing fifth in 2000, partly due to playing on the PGA Tour in America and partly due to tax reasons.
However, an easing of the tax burden brought in for the Olympics last year has contributed to his return, along with the desire to reunite last year's triumphant Ryder Cup team from Medinah which has only been spoilt by Peter Hanson's withdrawal with a back injury.
"I think it (the tax situation) has helped a little bit," Garcia said. "I don't think it's great still but it has obviously helped.
"But I think the main reason was obviously that they wanted to make this tournament extra special this year with everything that happened last year with the Ryder Cup so it was worth it to make a little bit of an extra effort to come and play."
Garcia's row with Woods threatened to overshadow some thrilling golf at Sawgrass, with the players level on 13 under par until Garcia dumped two balls into the water on the famous par-three 17th.
"I was trying to win the tournament," Garcia added. "I thought 17 was easier to birdie than 18 so that's why I tried to hit it somewhere close. I had a great possibility of winning the Players for a second time and it is a little disappointing, but it was a great week and that's what I tried to take away from it."