In this paper, we consider the finite-time leaderless consensus control of a group of Euler-Lagrangian systems with backlash nonlinearities. A finite time distributed continuous control scheme is proposed for the multi-agent systems. It is shown that the output of the Euler-Lagrangian systems reach consensus within finite time. Transient performances in terms of convergence rate is also analyzed. Finally simulation results are carried out to verify the effectiveness of the proposed schemes.