About 1,800 homes would be built north of Castor and Ailsworth by 2044 and a further 1,200 after that. The development would also include a country park and a “high quality foot/cycleway” over the A47.
About 1,005 dwellings have also been outlined for land between the A15 and Lincoln Road near Market Deeping.
“We disagree with the premise regarding the suitability for the proposed sites’ allocation within our rural ward, north of Castor and Ailsworth in particular,” said Neil Boyce and Peter Hillier, who are members of the Peterborough First party.
They will consult local residents and the Protect Rural Peterborough organisation and feed those views back to the council.
Other areas marked for new housing include the East of England Showground and Norwood.