Bolt made the announcement on his personal website on Tuesday.
"I am disappointed to miss the Kingston meet as I love running in front of my home crowd in Jamaica. I'm told it is only a Grade 1 strain so hopefully I will be OK soon," he said.
The 26-year-old runner said he felt tightness in training over the weekend and decided to withdraw from the Jamaica International Invitational, which would take place on Saturday, after consulting with his coach Glen Mills.
Bolt hopes to recover in time to race in the Cayman Invitational on Wednesday, May 8.