A cross-strapping device includes a base, a lateral strapping mechanism, and a longitudinal strapping mechanism. This base has a working surface. The lateral strapping mechanism has a lateral chute, a first strap supplying assembly, and a first sealing/cutting assembly. A first strap is guided by the lateral chute and is strapped around the object to finish a lateral strapping procedure. The longitudinal strapping mechanism has a longitudinal guider, a second strap supplying assembly, and a second sealing/sealing assembly. A second strap is guided by the longitudinal guider and be strapped around the object to finish a longitudinal strapping procedure. So, this object is placed on a fixed working surface without rotation. The lateral strapping procedure and the longitudinal strapping procedure are completed on the same working surface. Hence, both the lateral strapping procedure and the longitudinal strapping procedure can be done in only one machine. In addition, the turn table is not required.