Brentford's Alvaro Fernandez did well to block a Harry Kane strike early in the second half after the Tottenham captain had broken in behind the defence and ran onto a through ball with only the keeper to beat.
A week after an embarrassing Europa Conference League group stage defeat at Slovenian minnows NS Mura and four days after a fruitless trip to Burnley for a game that was postponed due to snow, Spurs produced their best 90 minutes under Antonio Conte so far.
This was a far more measured victory than Tottenham's previous one at home against Leeds United.
In that game Tottenham, were appalling in the first half before responding with a much-improved second 45 minutes, while against Brentford they controlled the game throughout.
It was just the sort of response Conte would have demanded too after his harsh words following the last-gasp loss in Slovenia.
"It was a good performance against a dangerous team," Conte said. "I'm happy because I have seen a great commitment and a good passion about the players.
"It's a good reaction [after last week]. In a loss you learn a lot but now we have to think about another Premier League game on Sunday [against Norwich City].
A high-tempo display against Thomas Frank's team should have brought more goals, but it was a satisfactory night for Tottenham even though Kane's league scoring struggles continue. The striker has scored only one league goal this season and is being upstaged by strike partner Son.
Conte's side are now within reach of the top four after taking 22 points from 13 matches, while Brentford sit in 12th with 16 points in 14 games.