Henman, 28, No. 22 in the world, has withdrawn after experiencing stiffness in his right shoulder at the recent Nasdaq-100 Open in Miami. He underwent arthroscopic surgery on the shoulder late last year, and has played in four prior events without any pain.
On his official Web site, Henman said, "Having taken my time to make sure that I fully recovered from my operation, and after feeling 100 percent in America recently, it's really frustrating and very disappointing to have picked up a slightly different shoulder problem."
He joined Sebastien Grosjean of France on the sidelines.
Grosjean, ranked 11th in the world, injured his left thigh last week in an opening singles match against George Bastl in France's Davis Cup quarterfinal matchup against Switzerland.
Grosjean, 24, won, but was forced to withdraw from Sunday's reverse singles against Roger Federer. He was replaced by Fabrice Santoro, who lost in straight sets, leading to France's first quarterfinal Davis Cup loss in three years.
"This is a little muscle tear, but it forces me to rest completely for at least two weeks," Grosjean told the French newspaper L'Equipe.
Grosjean is expected to return to competition on May 5 at the Masters Series event in Rome.