The invention relates to a friction modifier for lubricating oil, in particular to a naphthene-yttrium tungsten molybdenum calcium friction modifier and a production method thereof. The napthene-yttrium tungsten molybdenum calcium friction modifier is prepared from yttrium powder, tungsten powder, naphthene powder, zinc dialkyl dithiophosphate, molybdenum powder and calcium hydroxide, the production process is safe, environmentally friendly, free of environmental pollution, and the obtained naphthene-yttrium tungsten molybdenum calcium friction modifier has the high anti-friction and anti-wear property, bearing property and oxidation resistance, no corrosiveness exists, the modifier is added into the lubricating oil, and the lubricating oil has the good wear resistance, so that mechanical components can be operated safely and stably under various harsh conditions, and mechanical equipment cannot be corroded.