Trying his hand at golf after the team's 31-run victory in the opening Test against India, Anderson's swing went horribly wrong and the ball rebounded off a tree before hitting him straight in the face.
Broad, who was there when the incident took place, uploaded the video on social media and said England's highest wicket-taker "is perfectly fine".
Anderson appeared to be in pain but the faux-pas had Broad in splits.
The second Test starts at Lord's on August 9.
Hosts England lead the five-match series 1-0.
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