A packaging process includes the steps of receiving distinct clusters of products, orienting layered groups, moving the groups closer together, and inserting the bundle within a respective package. With the receiving step, the sum of the products of the clusters is equal to the number of products that can be accommodated in a layer of the final package. The products are mutually stacked so as to constitute respective layered groups that constitute a bundle. The layered groups that constitute a bundle are oriented according to the correct alignment required for its entry into the final package. The layered groups that constitute a bundle are moved closer to mutually contact the last product of one group with the first product of the contiguous group. Finally, the bundle constituted by the compacted layered groups, is inserted within a respective package.