Abstract: Regarding the Liouville type problem for Beltrami flow in unbounded domain with nonempty boundary associated with star-shaped domain, it was concluded that Liouville type theorem holds under one of four conditions that the Beltrami flow satisfies, and each condition was weaker than previous condition. Two useful lemmas were introduced to establish the relation between volume integral and surface integral on Beltrami flow. Adopting the proof by contradiction, using inequality scaling skills and considering the special property of the unit outer normal vector along the boundary of star-shaped domain, Liouville type theorem for Beltrami flow in unbounded domain with nonempty boundary was obtained. The method of choosing appropriate cut-off function was used for one of the situations.