Harry Kane scored his eighth goal of the season to help propel Spurs to a 2-0 win at Seagulls.
The England forward's first-half goal was enough to give Spurs a victory that keeps them in third place.
After a slow start, the Seagulls grew into the game and had opportunities to equalise before the break.
Solly March hit a low effort just wide of goal as half-time approached, after Lewis Dunk sent a headbutt.
In the second half both sides struggled to break each other down, although Kane should have put the game out of sight when he turned his marker, but he dragged his shot wide.
A late injury to Kane took some of the shine off the win as he went off after getting caught on the back of his foot, but he was able to walk off the pitch and confirm that it was just a knock.
Spurs have 20 points from nine games, while the Seagulls have 14.
Following the death of the club's fitness coach, it has been difficult for everyone connected with the club.
The Italian was well liked by the players and had been part of the backroom staff for a long time.
There was an extra element of determination from Spurs to get a result for Ventrone after a minute's applause was given before the game started.
They were hungry and deserved to take the lead through Kane, who pointed to the sky after scoring.
Spurs were able to pick up their sixth win in nine games and remain firmly in the picture at the top of the table, even though they couldn't kick on from that.
In his first game in charge of the Seagulls, Roberto de Zerbi guided them to an impressive 3-3 draw atLiverpool.
Graham Potter created an enjoyable team to watch for the Seagulls while adding his own influence.
Although they weren't as direct and attacking as they were in the early stages of the game, they still impressed against a Spurs team that has started the season very well.
The Seagulls worked the ball from left to right to try and pull Spurs out of shape and they could have had a goal.
The defeat ended their home winning streak but there was a clear sign of how De Zerbi wanted to play.