Lee said the conditions were conducive to low scoring, and he went into the round under no pressure.
"It was a little windier than the last three rounds we had, but it was still very doable out there. If you keep hitting it straight off the tee, you get a lot of birdie chances out there.
"I had no mindset or no gameplan - I've been hitting it good all week and I knew if I just putt half decent I would have a chance, or get very close - but I didn't know what Matt was going to do."
Kuchar too started well, sitting at four-under through 13 holes, but two straight bogies reduced what was a four-shot buffer to just a solitary stroke.
A bogey on 15 dented Lee's chances, but he rolled in a long birdie putt on 16 to sit just one shot back going into the final two holes.
There, Lee had long birdie putts slide wide of the hole on 17 and 18, settling for pars, and leaving Kuchar the equation of having to match him on the last hole to seal the victory.
A fortunate bounce off the tee on 18 set the American veteran up nicely, and while his eventual birdie putt slid past the hole, he made no mistake with his putt for par, securing his first win in four years, and denying Lee a chance for his second.