Snow had her first double-double of the season and Tina Thompson added 12 points and a season-high seven assists as the Comets (3-7) improved to 3-1 at home and won-back-to-back games for the first time this season.
Matee Ajavon had 12 points and Shannon Johnson added 11 for Houston, which has won three of five overall since losing its first five games of the season. The Comets had five players reach double-digits in scoring as Erica White added 10 points.
Betty Lennox, the only player to start every game for the Dream, led the way with a season high-tying 29 points and 11 rebounds. Ivory Latta added 21 points and Tamera Young grabbed 10 rebounds for Atlanta, which allowed 22 points on 21 turnovers.
The Comets broke open a close game early in the second quarter when Thompson and Snow teamed up to score seven points in a 9-4 run.
Atlanta then hit three 3-pointers in the next 3 minutes in an 11-5 run to get back within five with 3:52 left in the half.
But Houston, which made 47 percent (17-of-36) of its shots in the first 20 minutes, scored four points in the final 18 seconds to take a 45-35 lead into the break.
Five quick points to start the third quarter gave the Comets their biggest lead of the game, 50-35. However, the Dream outworked Houston pull to 65-64 with 58 seconds left in the third.
Lennox and Latta combined to make 10 straight free throws during a 10-0 run, but the Comets got layups by Ajavon and Mistie Williams in the final 38 seconds to take a 69-64 lead going into the final period.