We study the stability and convergence of a $RT_k/P_k$ finite element method for the incompressible Euler system. Moreover, we extend the error analysis result of Guzm\`{a}n et al. [H(div) conforming and DG methods for incompressible Euler equations, IMA J. Numer. Anal. 37(4)1733-1771, 2017] to the case of k=0.