Based on the stability theory of fractional order linear systems, the dynamic behavior of the fractional order Newton-Leipnik system with double attractor is studied. Our research shows that the fractional order Newton-Leipnik system involves reverse Hopf bifurcation course, i.e., with the decrease of fractional order, the fractional order Newton-Leipnik system shows mutation from double attractor to single attractor, the dynamic behavior experiences chaos, transient period and converges to one stable equilibrium.