A dull first half came to a cracking end as Bradley Johnson and James Puncheon secured a point for their sides.
Tony Pulis will feel Crystal Palace should have taken advantage of a late sending off for Leroy Fer, but it was not to be as Norwich will take the visiting point.
The game bogged down early, as the first 10 minutes saw both sides try to maintain possession. The home side saw the first few chances, but nothing much came of it.
With the rain wreaking havoc on passing, not surprisingly precious little took place in the first half for fans to chew on.
The away fans in particular had to see their side pegged back by Palace. But it only takes one chance to go ahead, and that they would do as the match neared halftime.
On a rare spell of possession, Gary Hooper found Bradley Johnson at the top of the box and the midfielder finished spectacularly as the ball hooked off the post and in, with keeper Julian Speroni believing the ball would go wide.
Crystal Palace would find their way back though, not to be undone before halftime. With Martin Olsson clearing off the line, the ensuing corner saw Leroy Fer push Marouane Chamakh and referee Kevin Friend pointed to the spot.
James Puncheon blasted home the penalty, and the two sides were once again level heading into the break.
With the goals before halftime, the game sprung open in the second half with both goals peppered by shots early. The home side had the better of the early action, as John Ruddy struggled to hold onto a number of shots.
As the second half wore on, it was obvious that Chris Hughton and Norwich were content to see out a point.
However, his quest to do so was put in serious jeopardy when he lost a man on the 82nd minute. Fer, having been booked earlier for his push in the penalty area, went studs up into Mile Jedinak and rightly received his second yellow from Kevin Friend.
It put Crystal Palace clearly on the front foot, but they could not capitalize, and the points were shared. With Fulham winning, Palace drop back down into the drop zone, a point behind Cardiff. Norwich remain in a precarious position at 20 points, just above Fulham in 14th.
Crystal Palace – Puncheon 44′ (pen)
Norwich City – Johnson 39′
Norwich City – Fer 82′
Crystal Palace – Speroni; Mariappa, Gabbidon, Delaney, Ward; Bolasie (Williams 80′), Jedinak, Dikgacoi (Parr 45′), Puncheon; Chamakh, Jerome (Gayle 62′).
Norwich City – Ruddy; Whittaker, Turner (Bennett 54′), Bassong, Olsson; Fer, Johnson; Snodgrass, Hoolahan (Elmander 69′), Redmond; Hooper (Martin 85′).