St. Louis matched the franchise record on Thursday, when he assisted on the second of two goals by Brad Richards in a 3-2 shootout win at New Jersey. St. Louis also reached the mark from Feb. 5-March 3, 2004.
Brian Bradley and Vaclav Prospal also recorded a point in 13 consecutive games for the Lightning (25-22-2).
St. Louis, who finished with 31 goals and 30 assists in 2005-06, has already surpassed that point total this season with a team-leading 64 and is tied with Vincent Lecavalier for the team lead in goals with 29.
Both players will represent Tampa Bay at Wednesday's All-Star game in Dallas.
St. Louis has 19 goals in 31 games against Carolina (25-19-5), while Lecavalier has 33 points in 42 games against the Hurricanes.
Lecavalier, who had a five-game goal streak and eight-game point streak halted Thursday, has 63 points this season after finishing with 75 in 2005-06.
Richards clinched Thursday's win with the lone shootout goal against Martin Brodeur, giving Tampa Bay six victories in its last seven games.
"It feels great to beat a great goalie like that," Richards said. "When you can score on him, you take it because you know you're not going to get many by him."
Richards has four goals in his last four games overall, and 31 points in 33 contests against Carolina.
The Hurricanes are continuing a stretch of seven consecutive games against Southeast Division rivals. Carolina has split the first four, beating Florida twice and losing to Atlanta and Washington.
The defending Stanley Cup champions are in second place in the division, five points behind Atlanta and three ahead of Tampa Bay.
The Hurricanes lost 5-2 to the Capitals on Thursday, their second defeat in three games. Carolina allowed a goal just seven minutes into the game when Washington's Chris Clark dumped the puck into the offensive zone and it deflected off David Tanabe's stick and into the open net vacated by John Grahame.
"The first goal was tough the way it happened, but it happened," Hurricanes coach Peter Laviolette said.
The Hurricanes rallied to pull within one goal in the third period, but Clark and Alexander Ovechkin sealed the win for the Capitals with empty-net goals in the final minute.
Carolina has defeated Tampa Bay four consecutive times at the RBC Center.
The Hurricanes close the stretch of division games with a home-and-home series against Washington starting Friday.