The invention relates to a fuel oil tank with an external circulation filtering device and a fuel oil engine. The fuel oil tank with the external circulation filtering device comprises an oil tank body and a filtering device arranged outside the oil tank body, the filtering device comprises a hydraulic pump, a filter, an oil extraction pipe and an oil return pipe, and the oil extraction pipe and the oil return pipe are arranged on an oil tank shell; and fuel oil is sucked in from the oil tank body through the hydraulic pump and is filtered through the filter to be discharged to the oil tank body through the oil return pipe, and a filter element of the filter is a polyamide melt-blow filter element. When an oil product is polluted or every a certain time, the fuel oil in the oil tank body is circulated and filtered, so that pollutants, such as metallic oxide, separated-out colloid and asphaltene generated by long-time placement, in the oil product are eliminated; and meanwhile, when the oil tank is used for the engine, pollutant discharge of the engine can be reduced, fuel consumption is reduced, and faults of the engine are reduced. Meanwhile, when the engine does not work, the oil product is repeatedly purified, the quality of the oil product is guaranteed, the combustion efficiency of the engine is improved to the maximum degree, and pollutant discharge is reduced.