The Lynx (4-0) used a third-quarter surge to take the lead for good and survived the Sun (0-3) in the first of back-to-back games between the teams.
Connecticut had a chance when Minnesota guard Lindsey Whalen missed two foul shots with 18 seconds left, but the Lynx hung on.
Sylvia Fowles (21) surpassed the 20-point mark for the third time in four games and added 13 rebounds, four assists and five blocks. Seimone Augustus scored 16 points and keyed the run that put the Lynx in front.
Jasmine Thomas made 5 of 7 from 3-point range and led Connecticut with 18 points. Jonquel Jones had 16 points, and Morgan Tuck finished with 12 points and 10 rebounds.
Minnesota shot 50.9 percent from the field for the game, and Connecticut shot 40 percent.
The Sun led for most of the first 25 minutes, but Augustus scored seven points during an 11-0 run that propelled the Lynx to a 62-54 lead after three quarters.
Minnesota extended the lead to 69-56, but Connecticut wouldn’t go away.
Connecticut, which was responsible for two of Minnesota’s six losses in 2016, looked like theLynx figured out early.
The Lynx got off to a slow start, missing five of their first six shots from the floor, as Connecticut built a 15-6 lead in the first 6:22.
Minnesota started finding its range from behind the arc, taking its first lead at 18-17 in the final minute of the first quarter.
The Lynx made their first four 3-pointers but then missed four straight as the Sun opened a 37-35 at halftime after a back-and-forth second quarter.
The Sun had 12 more shots from the field than the Lynx in the first half and forced 11 turnovers.
Fowles, who was 4 of 4 from the field, led all scorers with 10 points in the opening 20 minutes.
Sun post players Jones and Lynetta Kizer struggled with foul trouble in the second half. As a team, Connecticut had 19 fouls in the game, an improvement over the first two games when it was whistled 50 times.
The teams meet again Friday at Mohegan Sun Arena in Uncasville, Conn. Last season, the home team took all three games in the series.