Chikungunya virus (CHIKV) is a mosquito-borne Alphavirus, responsible for acute febrile infection. The high morbidity and socio-economic loss associated with the recent CHIKV epidemics worldwide have raised a great public health concern and emphasize the need to study the immunological basis of CHIKV infection to control the disease. MHC-I restricted CD8(+) T cell response represent one of the major anti-viral immune responses. Accordingly, it is essential to have a detailed understanding towards CHIKV specific MHC-I restricted immunogenic epitopes for anti-viral CD8(+) CTL immunogenicity. In the present study, a computational approach was used to predict the conserved MHC-I epitopes for mouse haplotypes (H2-Db and H2-Dd) and some alleles of the major HLA-I supertypes (HLA-A2, -A3, -A24, -B7, -B15) of all CHIKV proteins. Further, an in-depth computational analysis was carried out to validate the selected epitopes for their nature of conservation in different global CHIKV isolates to assess their binding affinities to the appropriate site of respective MHC-I molecules and to predict anti-CHIKV CD8(+) CTL immunogenicity. Our analyses resulted in fifteen highly conserved epitopes for H2-Db and H2-Dd and fifty epitopes for different HLA-I supertypes. Out of these, the MHC-I epitopes VLLPNVHTL and MTPERVTRL were found to have highest predictable CTL immunogenicities and least binding energies for H2-Db and H2-Dd, whereas, for HLA-I, the epitope FLTLFVNTL was with the highest population coverage, CTL immunogenicity and least binding energy. Hence, our study has identified MHC-I restricted epitopes that may help in the advancement of MHC-I restricted epitope based anti-CHIKV immune responses against this infection and this will be useful towards the development of epitope based anti-CHIKV immunotherapy in the future. However, further experimental investigations for cross validation and evaluation are warranted to establish the ability of epitopes to induce CD8(+) T cell mediated immune responses.