Title: "Production of two Higgses at the Large Hadron Collider in CP-violating MSSM" Abstract: In Minimal Supersymmetric extension of Standard Model (MSSM)  there are possibilities of having more CP-violating phases apart from   $\delta_{\rm{CKM}}$ phase. The soft terms and the supersymmetric $\mu$ term could be complex and can break the CP symmetry of the  lagrangian explicitly. Even though CP of the lagrangian is broken explicitly, the CP-violation in the Higgs sector enters through loop effects. In this case there is a possibility of a very light Higgs $< 60$ GeV, which could still be buried. So far LHC has found a Higgs like particle around 125 GeV, It is really interesting to see if the possibility of a light buried Higgs is still there. We discuss the such possibilities and also consider the flavour and EDM constraints in this context. We present the various search modes and the phenomenology at the LHC.