The policy means that families with the lowest incomes would lose the right to free full-day day care.
The proposal has been criticised by opposition politicians as well as figures within the main government party, the Centre Party.
Prime Minister and Centre Party leader Matti Vanhanen defends the plan, saying that healthy people who stay at home all day should take care of their children themselves. Speaking in Helsinki he added that the fees would serve as an incentive to more sensible behaviour.
However, Vanhanen promised that the lowest fees would not be very high, and that half-day day care would remain free for those with the lowest incomes.