Kramer, 64, is suffering from heart complications and will undergo surgery for the unspecified complaint, reported TMZ.
The spokesperson of the band without going into details of Kramer's illness, said, Aerosmith apologises for the inconvenience.
The Concord Pavilion, venue for the show, also announced the news on its Facebook page.
"Due to illness, Aerosmith has been forced to cancel tonight's performance at the Concord Pavilion in Concord, CA. The band regrets not being able to perform for their fans. Refunds will be available at point of purchase," the post read.