A spokesperson for Bryant said roofers had been hired to replace tiling to roof ridges.
Bryant declined to name the contractor was suing.
Tommy Leahy, a resident at the Sheffield estate, said that roofers had told him that "nothing was holding on" the corners of his roof. He added that neighbouring homes built by Redrow did not seem to have similar problems.
Another Sheffield resident, Paul James, said 10 of the 11 houses in his cul-de-sac have had "some sort of work" done since the estate opened in 1999.
In several instances, the National House Building Council has been called in to investigate claims.
Bryant said the problems in Yorkshire were "not as severe" as those of 33 executive homes the company built at the Chanctonbury estate in Ashington, West Sussex. Last month, the Evening Standard revealed that these homes were built with a defective mortar mix. Bryant has offered to buy them back from their owners.
The East Kilngate development at Gilmerton is at risk of "severe ground movement", according to an Arup Scotland report.