Genome editing using CRISPR/Cas9 technology is a prevailing approach for the induction of target mutations also in plants. In our work, we used ten different sgRNAs for genome editing of four different sites in cabbage (Brassica oleracea var. capitata L.), including 6 sgRNAs for modification of centromere protein CENH3 involved in chromosome segregation. Plants carrying mutated versions of CENH3 have the potential to be used as haploid inducers in the process of production of hybrids with high agronomic value. We used three different approaches for delivery of prepared CRISPR/Cas9 vectors into cabbage cells: protoplast transfection, agroinfiltration and stable transformation using Agrobacterium tumefaciens (A. t.). To detect target mutations we used T7E1 assay, Sanger sequencing, and next-generation sequencing. The latter showed successful induction of target mutations for all tested sgRNAs in protoplast transfection and agroinfiltration experiments. Mutations were induced at frequencies up to 11,95 % for protoplast transfection and up to 14,42 % for agroinfiltration. For regeneration of plants carrying desired mutations, we optimized protocols for the regeneration of protoplast using cultivation in alginate layers and protocol for stable transformation with A. t. Protocols developed through this doctoral dissertation will help to further use targeted mutagenesis in cabbage breeding.