"My recovery is going well, and I'm feeling much better, but unfortunately, I'm still not ready to play. I am obliged to withdraw from both Queen's and Wimbledon," said Spaniard Alcaraz, who lost to world number one Jannik Sinner in last year's final.
"These are two really special tournaments for me, and I'll miss them a lot. We'll keep working to come back as soon as possible."
Alcaraz sustained the injury during the first round of the Barcelona Open and subsequently pulled out of tournaments in Madrid and Rome and then Roland Garros, where he is the reigning two-time champion.
The world number two became the youngest man to complete the career Grand Slam in January with his triumph at the Australian Open. The 23-year-old holds a 22-3 record this season and also won a title in Doha.
Wimbledon will be only the third Grand Slam that Alcaraz has missed since making his main draw debut at the 2021 Australian Open.
Alcaraz's injury has stopped him from continuing his exciting rivalry with Italian Sinner, 24, who is the firm favourite to triumph in Paris and London.

