The N.F.L. has fined the Green Bay Packers $300,000 and two of its players, quarterback Aaron Rodgers and wide receiver Allen Lazard, $14,650 each for failing to follow the Covid-19 protocols agreed on by the league and players’ union.

The penalties come about a week after Rodgers tested positive for the coronavirus and his subsequent public statements espousing false and unfounded claims about the Covid-19 vaccines and treatments. Those comments were condemned by public health officials and by some fellow athletes but the league’s decision focused on his compliance with the rules.

Rodgers and Lazard, 25, who is also unvaccinated, were penalized for attending a Halloween party even though the Covid-19 protocols prohibit unvaccinated players from gathering outside of the team facility in a group of more than three players.

Rodgers, 37, also did not wear a mask when speaking with reporters, another violation of the league’s rules.

The team, which was notified of the fines late Tuesday, was penalized far more than the players because it did not do more to police its players’ behavior. The team did not sanction the Halloween party, for instance, but was aware that it took place and did not discipline Rodgers or Lazard and did not report their violations to the league.

“We respect the League’s findings and we recognize the importance of adherence to the COVID protocols to keep our team and organization safe and healthy,” Mark Murphy, the Packers’ team president, said in a statement. “We will continue to educate the team regarding the importance of the protocols and remain committed to operating within the protocols.”

The league said it found no widespread mask-wearing violations. But if the Packers are found to have violated the league’s protocols again, they could face harsher penalties, including the loss of draft picks. The players were also told they could face additional discipline if they violated the protocols again.

The fine against the team is one of the largest for Covid-19 protocol violations. Last season, the Tennessee Titans were fined $350,000 for their handling of an outbreak of coronavirus infections that forced the league to reschedule an array of games.

The league did not suspend anyone associated with the Titans, including their coach, general manager and players. Rather, the fine was imposed for the team’s failure to communicate workout protocols and rules governing the wearing of masks in team facilities.

The league fined several coaches and teams last season after they did not abide by its rules, penalizing head coaches seen during games not wearing masks properly $100,000 and their teams $250,000.

Last season, the Raiders were also fined $50,000 after an unauthorized person entered the team’s locker room, potentially exposing players and staff to the virus. Nine players were fined $15,000 each for attending a charity event that was held indoors with hundreds of people who were not wearing masks. A 10th player, Darren Waller, who hosted the event, was fined $30,000.

Last season, the New Orleans Saints lost a draft pick after five violations of the Covid-19 protocols during the height of pandemic.