The handled study proposes Oresme and Oresme-Lucas octonions associated with Oresme and Oresme-Lucas numbers. Moreover, it investigates the basic identities of these octonions. Further, this study suggests the octonions' generating functions and Binet-like formulas. Furthermore, it studies some of their finite and binomial sums. Besides, this study provides Honsberger-like, d'Ocagne-like, Catalan-like, Cassini- or Simson-like, and Vajda-like identities of these octonions. Finally, this study inquires whether further research should be conducted or not.