North American building codes currently provide strict limits on height of wood structures, where for example, in Canada wood structures are limited to 4 or 5 storeys. This paper examines wood-steel hybrid system to increase seismic force resistance beyond current limits, up to 10 storeys. The use wood-steel hybrid systems allows for the combination of high strength and ductility of steel with high stiffness and light weight of timber. This paper examines one type o wood and steel hybrid system: a steel moment frame with infill crossed Laminated Timber (CLT) shear walls. A detailed non-linear model of a 2D wood-steel hybrid seismic force resisting system was completed for 6, and 9 storeys; with two different steel frame designs, and four different placements of the infill walls. The static pushover response of this type of hybrid seismic force resisting system (SFRS) has been completed and compared for all cases. The results indicate that preliminary values for ductility (Rd) and overstrength (Ro) for this type of system are 2.0 and 1.7, respectively, similar to a plain wood wall system. Low ductility frames benefit the most from the addition of CLT shear walls as they do not lose the ductility in the system.