In a multi-piece solid golf ball comprising a solid core, a mantle and a cover, the solid core is made of a rubber composition that includes a base rubber containing a polybutadiene synthesized using a rare-earth catalyst, a small amount of organic peroxide, an unsaturated carboxylic acid and/or a metal salt thereof, an organic sulfur compound and an inorganic filler. The mantle is made of a thermoplastic resin composition. The cover is made primarily of a thermoplastic polyurethane material. This construction provides the golf ball with a combination of outstanding flight performance and soft feel with cover's scuff resistance and coating's abrasion resistance, that is unprecedented.