Buckinghamshire CC says it has taken£5.5m from reserves but that did not make up fully the£9.5m shortfall between the government's enforced spending limit and the amount needed to maintain services.
The council is set to approve a policy and resources committee recommendation of£291.2m,£5.2m less than its capping limit.
Cambridgeshire CC's council tax bills will increase by five per cent - up by£23 a year for an average band D property.
In Oxfordshire CC all four political parties put forward proposals to set the budget above the government's capping limit of£339.5m.
Councillors are to discuss the budget today before meeting on Tuesday February 18 to finalise the details.