The invention belongs to the technical field of materials and discloses a flexible low-smoke halogen-free flame-retardant wire and cable material and a preparation method thereof. The wire and cable material is prepared by using the following raw materials in parts by weight: 100 parts of ethylene-vinyl acetate copolymer, 1 to 70 parts of polyethylene, 30 to 100 parts of flame retardant, 5 to 20 parts of smoke suppressor, 0.1 to 5 parts of coupling agent, 1 to 20 parts of plasticizer, 0.1 to 10 parts of crosslinking agent, 3 to 15 parts of lubricant and 0.1 to 1 part of antioxidant. The wire and cable material disclosed by the invention is a thermoplastic sulfurized elastomer material, can be used for preparing insulating layers and sheath layers of wires and cables, and has the characteristics that no halogen is contained, the flame-retardant effect is good, the smoking amount is low, the surfaces of the insulating layers and sheath layers are smooth and do not stick with one another, the flexibility is good, the mechanical strength is high, the wear resistance is good, the processing fluidity is good, the process is simple and the material can be recycled.