Chelsea stretched their unbeaten Premier League run to five games as Thomas Tuchel's team deservedly beat Tottenham.
After managing no shots on target in the first half, Thomas Tuchel's side looked like a different team after the break and scored three second-half goals at the Tottenham Hotspur Stadium.
The Blues opened the scoring four minutes after the re-start, when Thiago Silva headed past Hugo Lloris from Marcos Alonso's corner.
Half-time substitute N'Golo Kante added a second with his first goal in 49 league appearances, though his long-range effort took a massive deflection from Eric Dier.
Antonio Rudiger found the bottom corner in injury time to complete the win.