From the beginning of the year 2020, the emergence of a new coronavirus outbreak leads to the worldwide pandemic causing severe acute respiratory syndrome coronavirus-2 (SARS-CoV-2). To date, there is no medicine or vaccine for this infectious disease, so the discovery of coherent vaccines has become the top priority. Many studies are being able to show various techniques to facilitate the combination of immunoinformatics and comparative genomic approach to determine the potential peptides for designing T-cell-based peptide vaccine by the use of 2019-nCoV envelope protein as a target. By screening bioimmunoinformatic SARS-CoV-2-derived T-cell and B-cell epitopes within the basic immunogenic of SARS-CoV-2 proteins, a set of inferred B-cell and T-cell epitopes from the spike(S) and nucleocapsid (N) proteins having high anti-antigenicity and without allergenic property or toxic effects was studied. The findings of this study provide a screened set of epitopes that can be introduced as potential targets for developing peptide vaccines against the SARS-CoV-2 virus.