The invention discloses a construction method of a filled-type epoxy coating steel strand single-strand penetrating type external prestressed tendon. The method process further comprises the steps that construction preparation is performed; a preformed hole on a beam is prepared; a pay-off rack is installed and feeding of steel strands is performed; a temporary supporting device of the steel strands is installed; a strand penetrating channel is checked and cleaned; strand penetrating is performed; an anchorage device is installed; stretching is performed; a strand penetrating tool is removed;a limiting device is installed; and corrosion prevention on the end portion is performed, wherein stretching refers to the cable force adjustment of a single strand. The strand penetrating process involves the operation process of the single strand. The construction method of the filled-type epoxy coating steel strand single-strand penetrating type external prestressed tendon further sets up a plurality of ways to protect an epoxy coating and the repair of the epoxy coating to ensure the smooth implementation of the entire construction method.