Which domains contain organisms that only conduct asexual reproduction

Two domains: Archaea and Bacteria

Explanation:

There are three domains of life namely Archaea, Bacteria, and Eukarya. Both Archaea and Bacteria contains organisms that reproduce asexually, i. e. binary or multiple fission, fragmentation, or budding. By these means, organisms divides its cells to more than one cells containing splited genetic materia. The dividing cells then can survive independently.