Wayne Rooney's header via his shoulder from a Steven Gerrard corner just after the half-hour mark put England ahead. However, defender Kamil Glik levelled for the Poles when he also headed home a corner with 20 minutes remaining.
"It's my fault. That's cost us three points," England goalkeeper Joe Hart told ITV television after failing to get any contact on Ludovic Obraniak's corner which was nodded in by Glik.
"It's a decent point but we know we can play better than that. I believe this point will be a good one at the end of the day, I don't think any team will get maximum points here," said England captain Gerrard.
The match had been scheduled for Tuesday but was postponed due to a waterlogged pitch when officials failed to close the national stadium's roof despite a heavy rainstorm, angering thousands of fans who were kept in the arena for hours.
"The fans were outstanding staying an extra day. Their fans were great coming too. We made something good out of it," said Hart.
Rooney's goal came against the run of play and not much changed in the second half for England, right-back Glen Johnson diverting an early opening after a fluffed clearance by Phil Jagielka.
The expected onslaught in the wake of Glik's goal never materialised however and the largely lifeless match drew to a close.
"I feel disappointed. We had a chance. We could have won. But congratulations are in order to the team anyway," said Polish captain Jakub Blaszczykowski who missed the game through injury.
