The team will impose the fine in cooperation with the league office, Rapoport reported, citing a source with knowledge of the process.
Per the agreement, terms were kept quiet.
Tarver issued a statement earlier Monday in the aftermath of his bird-flipping antics on Sunday.
"I apologize for my action on the sideline of yesterday's game," Tarver wrote in a statement released by the team. "It was in the heat of the moment, and I regret drawing attention away from the Raiders players and what they accomplished."
Tarver became agitated after cornerback Mike Jenkins was flagged for hitting a defenseless receiver in the third quarter of the Raiders' 21-18 win over the Pittsburgh Steelers. The flag eventually was picked up, but not before Tarver went off, extending his right arm and middle finger twice while peppering the officials with salty language.
CBS cameras captured Tarver's antics, all but ensuring discipline from the league office. Tarver was further put on blast by Fox rules czar Mike Pereira, the NFL's former vice president of officiating, who personally contacted the league office and condemned Tarver's behavior in a self-penned story on FoxSports.com.
Tarver will be lighter in the wallet over the incident, but something tells us he has gained a deeper appreciation from fans in The Black Hole.