The invention relates to a construction method for a precast type vibration damping track board. The construction method comprises the steps such as track board prefabrication, plate cushion compounding, transportation, lifting and unloading, track board positioning, concrete pouring, concrete maintaining, accessory buckling, steel rail laying and the like. The method adopts an inverse construction method from top to bottom, so that no-rail type laying of the track board is realized; and the track board laying precision is high, the construction progress is quick and the labor intensity is low.