Silva put on a masterclass in defence, while adding a goal at the other end, ensuring a comfortable London derby win on Sunday.
The 36-year-old was targeted by Spurs, who played rapid forward Son Heung-min in central positions, but the Brazilian was more than up to the task.
"Thiago Silva, what a man, what a player," Terry wrote on his Instagram stories after the game.
Silva also got praise from boss Thomas Tuchel post-game.
"Outstanding," said Tuchel.
"He almost scored twice. He was so strong; Deliveries were good for his goals.
"We are very happy that he was able to score to open the game for us today.
"But the performance even in the first half was outstanding, fantastic. Well deserved, he was outstanding today."
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