The event was delayed late in the round as strong thunderstorms rolled north of Houston, but when play resumed Points remained steady, finishing the tournament at 16-under-par 272.
The win was his first since the 2011 Pebble Beach National Pro-Am and earned him an invitation to the Masters in two weeks.
Sharing second place at minus-15 were Henrik Stenson (66) and Billy Horschel (66).
Dustin Johnson (65) and Ben Crane (68) finished in a tie for fourth at minus-14.
Teacher apologizes for showing sexual image of herself in class
Interpol investigating stolen passports on missing flight