Nike Inc. is raising salaries for more than 7,000 employees after an internal pay review and changing how it awards annual bonuses to its global staff, part of a broad overhaul of compensation at the sportswear giant.

The changes, announced Monday in an internal memo, are the latest example of efforts by Nike management to address concerns about pay equity and reshape the company’s culture, which was jolted this spring by complaints of inappropriate workplace behavior and an executive purge.

Nike...