The exsistence of gravitational kinks in 2d dilaton gravity, for topologically trivial spacetimes, is analysed. Hamiltonian analysis shows that such configurations are allowed, at least in a finite interval of time, provided some appropriate initial conditions are chosen. Investigation of the stationary case gives the conditions which the potential of the dilaton field has to satisfy in order that the theory admits gravitational kink solutions. As a special example, flat gravitational kinks are considered.