We address the non-classicality of hybrid coherent (HC) states, i.e., states expressed as a superposition of coherent state and single-photon-added coherent (SPAC) state. In particular, we evaluate their photon statistics, squeezing, and negativity of the Wigner function. Our results indicated that the HC states could exhibit larger non-classicalities than the SPAC state. We also suggest a generation scheme for HC states, which involves Kerr nonlinearity and postselection.