Serena had little trouble at the start on Centre Court, using her hard serve and powerful groundstrokes to win the first five games and run Radwanska all over the grass.
Agnieszka, who was playing in her first Grand Slam final, has been ill with a respiratory problem, making it difficult for her to speak. In the second set and already down a break, the third-seeded Agnieszka was coughing and blowing her nose during a changeover.
But she broke Serena in the next game to even the score at 4-4, and then broke again to win the second set.
Serena responded in the third set, breaking twice and serving out to win another major title.