Four people died in Saturday's attack on Istiklal Street, a popular shopping area, while another 36 were injured.
Hours before kick-off the Istanbul governor's office said Sunday's match "has been postponed after the evaluation of credible intelligence".
"It comes at the request and agreement of the teams," the authorities added.
The Istanbul derby between Galatasaray and Fenerbahce has been postponed amid security concerns following Saturday's suicide bomb in the Turkish capital.