The purpose of this paper is to investigate the stochastic bifurcation and stability problem of the Aeroelasticit-y of two-dimensional supersonic lifting surfaces with delay term. Applying Hopf bifurcation theory, Lyapunov exponent and invariant measure theory, we analyze the D- and P-bifurcation of the stochastic system. The analysis is based on the reduction of the infinite-dimensional problem to one described on a two-dimensional stochastic center manifold