Brandon Hagel had a goal and an assist, and Nikita Kucherov had three assists for the Lightning (12-7-1), who have won five of their past six games. Andrei Vasilevskiy made 25 saves.
"We're starting to gel a little bit more, I think," Point said. "Plays are becoming cleaner, we're breaking out cleaner, pucks are hitting tape and guys are feeling more confident. The execution of the game plan has been much better."
Pavel Buchnevich and Jordan Kyrou each had a goal and an assist for the Blues (10-10-0), who have lost consecutive games after a seven-game winning streak. Jordan Binnington made 22 saves.
"You've got to have urgency right away in the game," St. Louis coach Craig Berube said. "If you don't, you can get behind. Every individual, it's their job to be ready to go with urgency, doing the right things and making hard plays."