Second-placed Tottenham's eighth successive league victory cut Chelsea's lead back to four points with five games to play after Antonio Conte's side had beaten Southampton 4-2 on Tuesday.
After Saturday's bitter FA Cup semi-final defeat by Chelsea, it looked like being a night of frustration for a labouring Spurs at Selhurst Park, especially after Dele Alli wasted a great chance to put them in front.
But they were eventually rewarded for a dominant second-half when Eriksen took aim from around 30 metres and beat Wayne Hennessey with a dipping low shot into the corner.
Relive the action on Standard Sport's blog!
Palace XI: Hennessey, Ward, Kelly, Sakho, Schlupp, Milivojevic, Puncheon, McArthur, Zaha, Townsend, Benteke
Subs: Speroni, Van Aanholt, Delaney, Cabaye, Sako, Flamini, Campbell
Spurs XI: Lloris, Walker, Dier, Alderweireld, Vertonghen, Davies, Wanyama, Dembele, Eriksen, Dele Alli, Kane
Subs: Lopez, Trippier, Wimmer, Sissoko, Nkoudou, Son, Janssen
Referee: Jon Moss
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WHAT THEY SAID
Sam Allardyce: "It's our spirit, our mental resilience and our belief now that means even when we go a goal or two goals down we don't think we're going to get beaten.
"They'd have expected one shock, maybe, but we've done three shocks in as many weeks. It's Chelsea away, Arsenal at home and now Liverpool away.
"We're nearly there, we've got 38 points with an outstanding run from the players."
Mauricio Pochettino: "The first season we arrived we got 35 players and we started to rebuild the team during the season. Not to arrive, sign 10 players, put out another 12.
"We start to compete in the last two seasons. Last season we finished third, the best place in the Premier League for Tottenham, now we are second and fighting with the big sides with a completely different project.
"The mentality is fantastic - to win always ... another thing is to win titles, but they are winners."