Cristiano Ronaldo gave United a first-half lead with a wonderfully-executed right-footed volley before Edinson Cavani and Marcus Rashford contributed clinical finishes when one-on-one with Hugo Lloris in the second half.
The result is made all the more satisfying by the clean sheet, only the second one the Reds have achieved this term.
Lindelof said United's ability to keep Spurs out was down to every player on the pitch.
“It was a good defensive game for us of course," he told MUTV, "but we helped each other a lot, we covered each other’s backs and I think that’s the main part about today’s game.