Abstract: A new class of GNSS ambiguity estimator is introduced in this paper.This class is referred to as the class of integer equivariant(IE)estimators since it still obeys the important integer remove-restore principle of integer estimation.It is shown that the IE-class is larger than the class of integer estimators as well as larger than the class of linear unbiased estimators.We will also give a useful representation of IEestimators.This representation reveals the structure of IE-estimators and shows how they operate on the ambiguity float solution.Finally, the best integer equivariant estimation is proposed.