In nonlinear media, the evolution of off-axis offset vortex beams obeys the non-local and nonlinear Schrodinger equation. The expressions of initial light intensity and orbital angular momentum can be obtained by analytical methods. The split-step Fourier method is used to numerically simulate the influence of factors, such as off-axis vortex position, topological charge, and vortex circulation direction on the critical power, beam width, orbital angular momentum, phase structure distribution, and transmission direction of the beam. The results show that by selecting the appropriate off-axis vortex position and topological charge, the single beam of the double vortex can achieve the light intensity distribution of the double vortex structure, and it can also transmit obliquely. The magnitude of the orbital angular momentum depends not only on the traditional topological charge, but also on the position of the off-axis vortex. Therefore, the controllable propagation of this type of double vortex single beam has important theoretical guiding significance and application prospects in the information carrying and transmission of the beam.