In budding yeast, the mitochondrial DNA (mtDNA) replication pathway involving the homologous DNA pairing protein Mhr1 promotes mitochondrial allele segregation. Mitochondrial fusion facilitates the recombination‐mediated replication pathway; however, the role of fission remains largely unknown. By monitoring mitochondrial allele segregation during zygotic division, we found that the absence of fission proteins Fis1 or Mdv1, but not Dnm1, resulted in increased initial homoplasmy levels and decreased mtDNA copy number. However, decreases in mtDNA copy number alone were not sufficient for rapid establishment of homoplasmy, suggesting that inhibiting the activities of certain fission proteins promotes homoplasmy by reducing the number of mtDNA segregation units.