The Uruguayan got the 16th and 17th goals of his late-starting season - more than powderpuff Spurs have managed as a team.
Jordan Henderson, Jon Flanagan and Raheem Sterling also scored as Spurs, who had Brazilian midfielder Paulhino sent off for a high challenge on Suarez after 63 minutes, capitulated.
Liverpool moved above Chelsea on goal difference, two points behind leaders Arsenal, who have 35 points from 16 games.
England striker Danny Welbeck made the most of a rare start for Manchester United with a first-half double in a 3-0 win at Aston Villa as the champions ended a run of four Premier League games without victory.
Nathan Dyer scored for Swansea City but suffered a suspected fractured right ankle in the 1-1 draw at Norwich City.
Norwich earned a point thanks to Gary Hooper's spectacular volley in first-half stoppage time.
