The government said the two councils did not have to raise them by as much as 7.5% and 6.75% if they chose not to.
BCP Council has forecasted it will face a £10.5m bill for the interest on borrowing needed to provide support and education to children with extra needs.
Councillor Mike Cox said: “While at face value this is good news, we must recognise that this simply closes a budget gap we were filling with reserves.
“Our finances remain tight and pressures on our frontline services continue.”
At Windsor and Maidenhead the decision follows an increase of 9% last year.
The rising costs of providing services for adults needing social care and looking after vulnerable children have put the borough’s budgets under pressure.
Councillor Lynne Jones previously said the borough had to raise bills dramatically because historically it had “some of the lowest council taxes in the country”.
The two councils will sign off next year’s council tax increases in the next few weeks.