The Briton’s drive from pole to flag on an overcast afternoon was lonely, uneventful and dominant with Mercedes teammate Valtteri Bottas finishing 14 seconds behind to secure the one-two.
Vettel, who had battled on worn tyres but looked like securing the final podium position until the blowout, finished seventh with Finnish teammate Kimi Raikkonen third after also suffering a late puncture.
Hamilton says: “The support has been incredible this weekend. I am so proud I could do this for you all.
“The team were faultless this weekend, Valtteri did an incredible job as well so it’s the perfect weekend for us.”