By the current paper, we introduce and analyze a posteriori error estimator for a new dual mixed finite element method of the elasticity problem. In this method, the tensor of the constraints is approximated by Brezzi-Douglas-Marini fields augmented by rotational of the conforming bubble. We will show that this error estimator is reliable and efficient. Proof of reliability is based on Helmholtz decompositions of generalized tensor fields. The efficiency is demonstrated by the use of classical inverse estimates. Moreover, this estimator is independent of the coefficient of compressibility and thus remains valid in the incompressible limit case.