The win gives Jurgen Klopp's men 24 points from 11 matches, same as Spurs who beat Arsenal 2-0 earlier in the day.
Mohamed Salah opened the scoring before the half-hour mark when he pounced after a misplay by a Wolves defender in the 24th minute.
Salah's goal was his 84th in the Premier League -- equaling the total Cristiano Ronaldo scored during his days with Manchester United. Salah needed just 131 games to accomplish the feat, 65 fewer matches than the Portugal captain.
Georginio Wijnaldum added some gloss with a fine goal in the 58th. The Netherlands midfielder, picked out by a wonderful Jordan Henderson long ball, firing confidently into Rui Patrício's top corner from the edge of the area.
The occasion marked a triumphant return to Anfield for Liverpool's supporters, who had to watch on TV due to the COVID-19 pandemic as their club secured a first league title since 1990.
"It's wonderful - really excited when we heard supporters were allowed. It was a great feeling they were back," scorer Wijnaldum said.
"The fans helped the performance a lot because they cheered during the game and before we only had the bench for support," he added.
Liverpool boss Juergen Klopp wasted no time before greeting the home support at the final whistle, pumping his fist and thumping his chest as he approached the Kop to celebrate.