A flexible optical fiber composite submarine cable comprises four power cable cores, a communication optical cable, an aramid reinforcing rib, a polyurethane filling layer, an inner protecting layer,an aramid braiding layer and a polyurethane outer protecting layer, wherein the power cable cores, the communication optical cable and the aramid reinforcing rib are located in the middle, and the polyurethane filling layer, the inner protecting layer, the aramid braiding layer and the polyurethane outer protecting layer are located on the outer side. The aramid reinforcing rib is arranged at thecenter of a torus formed by the four power cable cores and the communication optical cable; each power cable core comprises a class-V oxygen-free copper flexible conductor, a butyronitrile-PVC compound insulating layer and a copper wire braiding shielding layer in sequence from inside to outside, and each class-V oxygen-free copper flexible conductor is formed by twisting multiple tinned annealedsoft copper wires; a twelve-core optical fiber is arranged in the communication optical cable, and the outer layer of the twelve-core optical fiber is provided with a stainless steel tube, a PE protecting bush and a polyurethane protecting layer in sequence; the polyurethane filling layer is arranged between the inner protecting layer and the power cable cores and the communication optical cable.The flexible optical fiber composite submarine cable has the advantages of being good in waterproofness, flexibility and creep resistance, light in weight, small in size, high in tensile strength andthe like.