The purpose of this study is to develop a numerical strategy able to compute and predict the flow-induced orientation of the fibers within an hydrogel during extrusion-based 3D printing process. The probability distribution function approach was used to describe the orientation of a fiber population. This approach was coupled to a computational fluid dynamic (CFD) method to compute the fluid flow which transports the fibers. Numerical computations were performed for a planar channel and a conical nozzle geometry. The results showed that the fiber orientation during the extrusion process is delayed by the hydrogel rheological behavior while the final fiber orientation remains the same. This study presents the first analysis for the fiber orientation prediction in hydrogel for extrusion-base 3D printing.