Aerobic respiration. Definition. noun. (1) A form of cellular respiration that requires oxygen in order to generate energy. (2) The process of generating energy by the full oxidation of nutrients through Krebs cycle where oxygen is the final electron acceptor.Supplement.ith aerobic respiration, glycolysis continues with the Krebs cycle and oxidative phosphorylation. These post-glycolytic reactions occur in the mitochondria in eukaryotic cells, and in the cytoplasm in prokaryotic cells.