A composition for forming a solid lubricating coating on a threaded connection for pipe or tube, comprising: a binder, a solid lubricant which is selected from a group consisting of graphite, zinc oxide, boron nitride, molybdenum disulfide, tungsten disulfide, graphite fluoride, tin sulfide, bismuth sulfide, thiosulfate compound, polytetrafluoroethylene and polyamide, and a rust proof addition agent; the binder comprises: an ethylene-vinyl acetate resin, a polyolefin resin which is selected from a group consisting of polyethylene and polypropylene, and a wax which is selected from a group consisting of animal wax, vegetable wax, mineral wax, oxide wax, Fischer-Tropsch wax, amide wax, and hardened castor oil; wherein: a ratio of a mass of the ethylene-vinyl acetate resin to a mass of the polyolefin resin is from 1.0 to 1.8; and a ratio of a total mass of the polyolefin resin and the ethylene-vinyl acetate resin to a mass of the wax is from 0.7 to 1.6; characterised in that: the solid lubricating coating further comprises a fluorine addition agent which is selected from a group consisting of liquid-based perfluoropolyether and a fluorinated polymer in grease form; the wax having a fusing point of 110°C or less; and the composition comprising: 60 to 80% by mass of the binder, 8 to 18% by mass of the fluorine addition agent, 5 to 15% by mass of the solid lubricant, and 2 to 10% by mass of the rust proof addition agent. a binder, a solid lubricant which is selected from a group consisting of graphite, zinc oxide, boron nitride, molybdenum disulfide, tungsten disulfide, graphite fluoride, tin sulfide, bismuth sulfide, thiosulfate compound, polytetrafluoroethylene and polyamide, and a rust proof addition agent; the binder comprises: an ethylene-vinyl acetate resin, a polyolefin resin which is selected from a group consisting of polyethylene and polypropylene, and a wax which is selected from a group consisting of animal wax, vegetable wax, mineral wax, oxide wax, Fischer-Tropsch wax, amide wax, and hardened castor oil; an ethylene-vinyl acetate resin, a polyolefin resin which is selected from a group consisting of polyethylene and polypropylene, and a wax which is selected from a group consisting of animal wax, vegetable wax, mineral wax, oxide wax, Fischer-Tropsch wax, amide wax, and hardened castor oil; wherein: a ratio of a mass of the ethylene-vinyl acetate resin to a mass of the polyolefin resin is from 1.0 to 1.8; and a ratio of a total mass of the polyolefin resin and the ethylene-vinyl acetate resin to a mass of the wax is from 0.7 to 1.6; a ratio of a mass of the ethylene-vinyl acetate resin to a mass of the polyolefin resin is from 1.0 to 1.8; and a ratio of a total mass of the polyolefin resin and the ethylene-vinyl acetate resin to a mass of the wax is from 0.7 to 1.6; characterised in that: the solid lubricating coating further comprises a fluorine addition agent which is selected from a group consisting of liquid-based perfluoropolyether and a fluorinated polymer in grease form; the wax having a fusing point of 110°C or less; and the composition comprising: 60 to 80% by mass of the binder, 8 to 18% by mass of the fluorine addition agent, 5 to 15% by mass of the solid lubricant, and 2 to 10% by mass of the rust proof addition agent. the solid lubricating coating further comprises a fluorine addition agent which is selected from a group consisting of liquid-based perfluoropolyether and a fluorinated polymer in grease form; the wax having a fusing point of 110°C or less; and the composition comprising: 60 to 80% by mass of the binder, 8 to 18% by mass of the fluorine addition agent, 5 to 15% by mass of the solid lubricant, and 2 to 10% by mass of the rust proof addition agent. 60 to 80% by mass of the binder, 8 to 18% by mass of the fluorine addition agent, 5 to 15% by mass of the solid lubricant, and 2 to 10% by mass of the rust proof addition agent.