Abstract: A new spin glass model defined on the N×N 2-dimensional random lattice with the SO (3) spin variables is proposed, and. studied by Monte Carlo simulations. The thermodanamics, such as the internal energy and specific heat per spin and the topological excition are calculated. The thermal hysteresis and mix-phase runs are also made to obtain some information of the Phase transitions. A higher-order, instead of the usual first-or second-order, Phase transition due to the vortex condensation is found. Moreover, the results show the important frustration and disorder effects which are main causes of low-temperature properties of sPin glass.