Supercritical combustion of Liquid OXygen (LOX) and kerosene with a bi-swirl coaxial injector is studied using Large-Eddy Simulation (LES) associated with Flamelet model. The injector configuration is derived from main injectors of the RD-0110 engine. Swirling oxygen at 120 K and swirling kerosene at 300 K are introduced from the injector to the combustion chamber at compressed liquid states. The operating pressure is 10 MPa. A three-component surrogate consisting of n-decane/n-propylbenzene/n-propylcyclohexane (74%/15%/11% by mole) is used to represent kerosene. A detailed chemistry kinetics with 209 species and 1673 elemental reactions is employed to establish the flamelet library. The injector near-field flow and flame structures are examined and discussed in detail to enhance understanding of supercritical combustion of liquid oxygen and kerosene with a bi-swirl coaxial injector. Suggestions are also made for future studies of supercritical combustion of dual-liquid propellants associated with bi-swirl coaxial injectors.