Abstract Dc-SQUID with Josephson junctions characterized by nonsinusoidal current-phase relation is being considered as a basis for phase qubit. It has been shown that the second and third harmonic components each in the current-phase relation are able to provide double-well potential and the energy level splitting. Threshold condition for the double-well form origin has been determined taking into account the impact of both harmonics. The splitting gap of the ground energy level has been calculated as a function of the harmonic amplitudes for different ratio s of characteristic Josephson energy E C to the Coulomb energy E Q0 . It has been shown that the gap value comes to about 7 E Q0 with increase of the ratio s . No external field needed, no bias current required and no circular currents are major advantages of such a qubit.