Yes, once a healthy human male reaches adulthood, his cells continue to undergo both mitosis and meiosis. Mitosis produces diploid cells, and that kind of cell division is needed throughout an entire human's life, regardless of sex. Mitosis is necessary for periods of growth, but mitosis is also necessary for tissue growth and repair. Skin cells and digestive tract cells are constantly being lost and need to be replaced through mitosis. Tissue damage from wounds is also repaired through mitosis. Meiosis, in males, begins after puberty and will generally continue throughout the male's life. The goal of meiosis is to produce haploid gametes called sperm, and that happens in the testes. This is quite different than females, who begin meiosis during fetal development.