We found a finite temperature glass transition in the absence of quenched disorder in frustrated Josephson junction arrays (JJA) on a square lattice with anisotropic Josephson couplings by numerical simulations. The vortexes develop zigzag stripes into the direction of weaker coupling at low temperatures. The whole amorphous vortex solid can flow smoothly into the direction of stronger coupling by non-trivial soft modes. As the result the macroscopic phase coherence is destroyed being reminiscent of vortex flow in pure bulk superconductors or spin-chirality decoupling in frustrated magnets. On the contrary such soft-modes are absent into the direction of weaker coupling. Consequently the system behaves as a Ohmic (unjammed) liquid or superconducting (jammed) solid with respect to injection of external electric current, i. e. shear, along different directions. This jamming-glass transition can be regarded as a two dimensional realization of the Aubry's transition. ; Comment: 5 pages, 4 figures