Asexual Spores Asexual spores are produced by an individual fungus through mitosis and su bsequent cell division there is no fusion of the nuclei of cells. Several types of asexual spores are produced by fungiAsexual spores are produced by an individual fungus through mitosis and subsequent cell division; there is no fusion of the nuclei of cells. Several types of asexual spores are produced by fungi. Asexual Spores