The essence of 3D object packing problem is to load a set of distinct boxes with given dimensions in containers to maximize volume utilization. The goal of this research is to support with algorithmic techniques the design of package layouts that meet the functional relationships between the parts and match market needs including cost, safety, comfort, as well as economic and environmental aspects. An analysis of 3D object packing algorithms, created by foreign authors, and commercial three-dimensional pallet packing software packages was performed in this work; also methods’ advantages and disadvantages were pointed out. A model of three-dimensional rectangular object packing into containers of the same shape was formed, and the software solving 3D object packing problems was created according to this model. The tests proved that the suggested method is effective and beneficial.