The Uruguay striker bit Chelsea defender Branislav Ivanovic's arm during Sunday's Premier League match before scoring a late goal to clinch a 2-2 tie.
''For my unacceptable behavior yesterday, the club has fined me today,'' Suarez wrote on his Twitter and Facebook accounts.
Suarez said he wants the undisclosed sum to be donated to families affected by the 1989 Hillsborough Stadium disaster, which killed 96 Liverpool fans.
Suarez, who could still face a long ban from the Football Association, was suspended for seven matches in 2010 while playing for Ajax after biting a player.
Trouble followed Suarez to Liverpool, and he was suspended for eight games in December 2011 for making racist insults toward Manchester United defender Patrice Evra during a Premier League match.
But Liverpool insisted Monday that Suarez's future at the club has not been harmed by his latest high-profile misdemeanor.
''It affects his future in the sense that we have to work with him on his discipline, but Luis is a very important player to the club,'' Liverpool managing director Ian Ayre said. ''He's a very popular player with his teammates. As we keep saying, he signed a new four-year contract last summer and we'd all love to see him here throughout that contract.
''He's a fantastic player, top scorer and everything we'd want in a striker, so there's no change there. This is more about getting him back on the right track.''
The Professional Footballers' Association has offered the services of counselors.
''There is no doubting his football ability, that's why it is so disappointing and embarrassing when he lets himself down,'' PFA chief executive Gordon Taylor said. ''We have to work hard on anger management now. We have trained counselors in this field and we will be offering their services to Liverpool and the player to try to improve matters.''
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