•We proposed a new pairing theory between boson and fermion in optical superlatice.•Stable pairing states only exist in discrete momentum vector zones, which are connected by chiral linear mode.•Different stable pairing states are classified by topological numbers.•Critical temperature of gapped-to-gapless phase transition shows similar trend as that of high Tc superconductor. A convective pairing mode of a boson-fermion mixture of ultracold atoms confined in an optical superlattice can be induced by the transformation between two optical superlattice configurations. This convective pairing mode only exists in discrete momentum vector zones for pairing energy gaps. The energy spectrum of gapped states is characterized by topological winding numbers. Two neighboring gapped states are bridged by an unstable chiral linear mode, which drives the boson-fermion pair into directional motion for a short period but remains static in the supersymmetric phase with time-reversal symmetry. The phase transition from a gapped mode to a gapless mode occurs at a critical temperature, whose distribution curve for chemical potential demonstrates a similar dome-like trend as that of high Tc superconductor. The boson-fermion pairing may shed light on a possible mechanism of high-Tc superconductivity.