The centre-back received 29% of the vote share, with Jairo Riedewald and Development substitute Brandon Pierrick earning 24% each.
Tomkins has played throughout the festive period for Palace, featuring in every minute since the end of October draw with Arsenal - his second game after returning from injury.
Against the Canaries, Tomkins pulled off a steadfast display in defence - most notable as he contained Teemu Pukki before excellently blocking the forward's shot.