Harry Kane opened the scoring for Spurs, dispatching a low finish into the bottom left corner after collecting Giovani lo Celso's pass.
However, Jeffrey Schlupp levelled for Palace with a close-range finish after some poor Tottenham marking at a corner.
It was no more than Roy Hodgson's side deserved, as they ended a run of seven straight defeats.
They matched their London rivals for endeavour and could have snatched all three points, with Scott Dann heading a late effort wide.
Jordan Ayew who has been Crystal Palace best player this season with nine goals has failed to score in the past few weeks, making Hodgson’s side struggle to churn out the results.