We propose a new kind of optical vortex called the Hermite-Gaussian-like optical vortex (HGOV) inspired by the cross phase (CP).Theoretically,we investigate how the CP is decoupled from the phase of a cylindrical lens.We also investigate the propagation characteristics of an HGOV,which has a Hermite-Gaussian-like intensity distribution but still retains the orbital angular momentum.Furthermore,we derive the Fresnel diffraction integral of an HGOV and study the purity at infinity.Besides,we show a novel function of the self-measurement of the HGOV.Finally,we show that we can change the relative positions of singularities and the direction of an HGOV precisely,which facilitates applications in optical micro-manipulation.