The League One side forced a replay after drawing the first match at their home but the Premier League outfit have secured their place in the FA Cup quarter-finals now.
Spanish striker Fernando Llorente bagged his first hattrick for Tottenham. Son and Walker-Peters scored the other goals for the home side. The former Swansea striker scored his hattrick within 12 minutes in the second half.
Spurs went ahead on the 23rd minute after a well-taken goal from Son. Rochdale responded eight minutes later and Humphrys levelled the score.
The cup tie was littered with VAR controversies.