Various new physics models, e.g., theories of compositeness, can accommodate the color singlet excited leptons that interact with the leptons, quarks, leptoquarks, etc. A particular type of excited lepton, which at low energies interacts with the Standard Model fermions mainly through the four-fermion coupling to lepton and quark-antiquark (or lepton-antilepton) pair, we call leptomeson. These new particles may contribute to variety of the experimental anomalies such as the discrepancy in the muon g-2. We propose that the leptomesons can generate also the baryon asymmetry that explains the imbalance in ordinary matter and antimatter in the observable universe. We consider the two types of scenarios for this baryogenesis via leptogenesis to occur from either leptomeson oscillations or decays. Both possibilities do not contradict to the small masses of the observable neutrinos and the proton stability. Moreover they can be relevant for the near future collider experiments and do not suffer from the gravitino problem.