Development of a suitable vascular network for an efficient mass exchange is crucial to generate three-dimensional (3D) viable and functional thick construct in tissue engineering. Different technologies have been reported for the fabrication of vasculature conduits, such as decellularized tissues and biomaterial-based blood vessels. Recently, bioprinting has also been considered as a promising method in vascular tissue engineering. In this work, human umbilical vein smooth muscle cells (HUVSMCs) were encapsulated in sodium alginate and printed in the form of vasculature conduits using a coaxial nozzle deposition system. Protocols for cell encapsulation and 3D bioprinting are presented. Investigations including dehydration, swelling, degradation characteristics, and patency, permeability, and mechanical properties were also performed and presented to the reader. In addition, in vitro studies such as cell viability and evaluation of extra cellular matrix deposition were performed.