He said the main organizer of the scheme was from Asia but gave no details. He said players were offered bribes of up to 60,000 euros ($79,740).
Czech public radio and television reported that the players are mostly from lower divisions but that some are from the top Czech league.
In a brief comment on Thursday, the Czech football federation said it discovered about 11 months ago some irregularities in lower competitions and informed police.
The players face a ban of up to five years.
The Slovak federation said it has been actively cooperating with investigators and provided all necessary information.