Antithrombin III (AT3) belongs to the superfamily of serine protease inhibitors (serpins) and is a major anticoagulant in physiological conditions. Based on SERPINC1 gene, a minigene coding for human AT3, which is valuable for medicine and biotechnology, was constructed by minimizing the size of lengthy introns and preserving the splicing site-flanking sequences. An analysis of the minigene splicing pattern identified one correct AT3 transcript and two alternatively spliced transcripts, which formed either due to minigene exons 2 and 3 skipping or an aberrant exon insertion via splicing at cryptic splicing sites in intron 1 of the minigene. Site-directed mutagenesis of the cryptic splicing sites successfully optimized the splicing pattern of the AT3 minigene to completely prevent the generation of the alternative transcripts. The presence of the cryptic splicing sites in intron 1 of the minigene was confirmed with Human Splicing Finder v. 3.1 software, thus demonstrating that putative alternative splicing sites are possible to identify in minimized or hybrid introns of minigenes and to eliminate via mutagenesis before experimentally testing the minigene splicing patterns. The approach to the design of minigenes together with the bioinformatical analysis of the nucleotide sequences of minigene introns can be used to construct minigenes in order to generate transgenic animals producing economically valuable proteins in the milk.