  The transport of self-propelled particle confined in corrugated channel with
L\'{e}vy noise is investigated. The parameters of L\'{e}vy noise(i.e., the
stability index, the asymmetry parameter, the scale parameter, the location
parameter) and the parameters of confined corrugated channel(i.e., the
compartment length, the channel width and the bottleneck size) have joint
effects on the system. There exits flow reverse phenomena with increasing mean
parameter. Left distribution noise will induce $-x$ directional transport and
right distribution noise will induce $+x$ directional transport. The
distribution skewness will effect the moving direction of the particle. The
average velocity shows complex behavior with increasing stability index. The
angle velocity and the angle Gaussian noise have little effects on the particle
transport.
