Janel McCarville scored 13 points while Devereaux Peters added 10 points and 10 rebounds for the Lynx (16-6), who won their third straight and have the best home record in the league at 9-1.
Camille Little led Seattle (9-14) with 17 points, while Temeka Johnson added 12 for the Storm, who have lost four of six.
Moore, who leads the WNBA in scoring at 23.7 points per game, opened the third quarter with a nine-point spurt in the first 2 minutes to push the Lynx to a 41-28 lead.
She hit a 3-pointer off the second-half tip, stole a pass and drove the length of the court for a layup, then hit a pair of jumpers.
The Storm return to action Tuesday against Connecticut. Start time is 12pm at KeyArena.