كتب : وكالات
Egypt full-back Hazem Emam broke the deadlock after the break but Mohamed Maged levelled for Police with 15 minutes remaining.
Zamalek were lucky not to concede on two occassions that saw hosts Police denied the woodwork.
The Whites are fifth of Group B with six points adrift of leaders Petrojet, but the former have two games in hand.
VIDEO HIGHLIGHTS
Police striker Mohamed Mohsen Abou-Greisha hits the post from range in the first half.
Emam smashes home after a deft pass by Momen Zakaria.
Police denied by the post again, this time from Khaled Kamar's header.
Police show persistence to score after two blocked attempts from Kamar and Abou-Greisha.