  The nature of superconductivity in newly discovered Kagome materials,
$\text{AV}_3\text{Sb}_5$ (A=K, Rb, Cs), has been a subject of intense debate.
Recent experiments suggest the presence of orbital current order on top of the
charge density wave (CDW) and superconductivity. Since the orbital current
order breaks time-reversal symmetry, it may fundamentally affect possible
superconducting states. In this work, we investigate the mutual influence
between the orbital current order and superconductivity in Kagome metal with
characteristic van Hove singularity (vHS). By explicitly deriving the
Landau-Ginzburg theory, we classify possible orbital current order and
superconductivity. It turns out that distinct unconventional
superconductivities are expected, depending on the orbital current ordering
types. Thus, this information can be used to infer the superconducting order
parameter when the orbital current order is identified and vice versa. We also
discuss possible experiments that may distinguish such superconducting states
coexisting with the orbital current order.
