The invention relates to heat supply equipment, in particular to a biomass ash-free combustion furnace. The biomass ash-free combustion furnace is characterized in that the inner wall, faced by an end port of an air feeding pipe (7), of a hearth (2) and the inner wall, above the air feeding pipe (7), of the hearth (2) are a circular arch-shaped curved surface formed by circular arch-shaped surfaces in a smooth connection mode, a negative-pressure port (8) is formed at the upper side of the air feeding pipe (7) entering the hearth (2), combustion air at the negative-pressure port (8) firstly passes through a wind pressing piece (9), the edge of one side of the wind pressing piece (9) is bent obliquely towards the rear lower direction, and the air feeding pipe (7) outside a furnace body (1) is communicated with a fuel conveying pipe (5). The biomass ash-free combustion furnace has the advantages that fuel enters the hearth along with the wind, rotates and flies up and down, is combusted and is not accumulated easily, the unburnt fuel is sucked to the air feeding pipe and is sprayed out again for combustion, so that the combustion is more sufficient, and almost no ash is reserved. In addition, a heat storage chamber stores a large amount of heat to improve the temperature of the hearth. The air feeding pipe passes through the heat storage chamber, so that the fuel and the combustion air can be preheated, a large amount of combustion air is from the hearth, and the heat of the furnace is accumulated continuously and reaches or approaches the heat of compressed straws and coal. The biomass ash-free combustion furnace can serve as various heat exchanging equipment such as a hot blast heater, a water heater and an oil furnace, substitutes coal-fired furnaces to carry out a heat-supply operation, and has great significance of saving coal, protecting the environment, fully utilizing crop straws, improving the value of the crop straw and increasing the income for farmers.