A dismal first half on a rainy night on the south coast was almost devoid of goalmouth action until central defender Romero deflected in Dejan Kulusevski's shot in the 37th minute to open his account for the club.
Tottenham were far brighter than their hosts in the second half and doubled the lead with a textbook counter-attack rounded off by Kane's unerring finish in the 57th minute.
The English striker Kane then become the highest scorer away from home in the Premier League.
Spurs beat Brighton to go level on points with West Ham ⬜️— SuperSport ? (@SuperSportTV) March 16, 2022
Harry Kane's record-breaking strike makes him the highest scorer away from home in the Premier League. pic.twitter.com/giSKJEtQsB
Brighton failed to really trouble Tottenham keeper Hugo Lloris as they slumped to a sixth successive league defeat.
The victory lifted Antonio Conte's Tottenham above Wolverhampton Wanderers into seventh place with 48 points, level with West Ham United who they have one game in hand on.
Tottenham host West Ham on Sunday.