Winners Spain had five players booked and the Dutch received eight yellow cards while defender John Heitinga was sent off.
The match set a record for the most cards received in a World Cup final, beating the six yellows shown when Argentina beat West Germany 3-2 in the 1986 final.
The match produced 47 fouls, prompting FIFA president Sepp Blatter to say he had been let down by the players' behaviour.
A spokesman said the teams were fined under article 52 of the FIFA disciplinary code, under which "disciplinary measures may be imposed on associations and clubs where a team fails to conduct itself properly".
The first part of the article states: "a fine may be imposed where the referee sanctions at least five members of the same team during a match (caution or expulsion)."
English referee Howard Webb had a tough time in a game which Spain won 1-0, after extra-time.
Dutch football legend Johan Cruyff also launched a scathing attack on Netherlands' display in the final, deriding it as 'anti-football'.