It was Lindgren’s 10th shutout in the NHL.
Anthony Beauvillier scored the lone goal in the second period for the Capitals (2-1-0). Lindgren locked it down with 13 saves in the first, 13 more in the second and nine in the third.
Washington won back-to-back games in the New York area, also defeating the New York Islanders 4-2 at UBS Arena on Saturday, after losing its season opener at home, 3-1, against the Boston Bruins on Wednesday.
Jonathan Quick made 20 saves in his season debut for the Rangers (2-2-0), who were shut out at home for the second time in as many games this season. They lost 3-0 to the Pittsburgh Penguins on Tuesday, but have scored a combined 10 goals in road wins against the Buffalo Sabres and Penguins.
Lindgren improved to 4-1-0 with two shutouts and a .957 save percentage in five career appearances against the Rangers.
Beauvillier gave Washington a 1-0 lead at 13:47 of the second period by redirecting Alex Ovechkin’s pass over Quick’s blocker and into the net.
Ovechkin got the puck along the wall above the left face-off circle. He sent what looked like a shot-pass wide left of the net to Beauvillier, who went behind the cage and redirected the puck from below the circle.
Lindgren’s best save came at 4:53 of the second, when he dove across the crease to rob Mika Zibanejad with a glove save on a one-timer from the left circle off a 2-on-1 pass from Artemi Panarin.
He also stopped Zibanejad’s one-timer from the slot during a Rangers’ power play at 16:05 of the second. The puck hit off Lindgren and the right post before the Capitals cleared it out of harm’s way.
In the third, Lindgren denied Panarin on a deflected shot off the rush, staying with the puck as it popped up off defenseman John Carlson and went on goal at 14:16. He was square to Will Cuylle’s shot from the right circle with the Rangers skating 6-on-5 with 1:18 remaining.