Spikes' criticism began after he learned that Rice and Janay Palmer were married Friday, one day after Rice was indicted by a grand jury on third-degree aggravated assault.
Spikes tweeted: "That’s him trying to save his image duh"
Spikes said that he got mad when he saw the TMZ video showed Rice lifting Palmer by her arms out of an elevator and laying her on the floor. Rice's attorney, Michael Diamondstein, has said the footage is authentic but incomplete.
That led to Spikes tweeting: "I don’t see how anyone can respect him. Put your hands on a woman. The woman that had ur child"
Spikes then tweeted: "Someone should choke him out. See how he likes it."
The Ravens and the Bills don't play each other in the 2014 regular season.
It was not too long ago when Rice was the one criticizing another NFL player. In 2011, Rice had some harsh words on Twitter for Hines Ward after the former Steelers wide receiver was arrested for drunken driving, saying a DUI charge is "not a good look."
Rice hasn't posted anything on his Twitter account since Feb. 12, three days before his arrest.