The invention discloses a mineral admixture as well as preparation and application thereof. The mineral admixture contains superfine solid sulfur ash, the D50 of the superfine solid sulfur ash is 0.5 to 15mum, and the D90 of the superfine solid sulfur ash is less than or equal to 30mum. The invention also provides a preparation method for the mineral admixture. The method comprises the following step of: mixing the superfine solid sulfur ash, fly ash and slag powder, wherein the mineral admixture contains 50-70wt% of superfine solid sulfur ash, 10-30wt% of fly ash and 10-30wt% of slag powder, the D50 of the superfine solid sulfur ash is 0.5 to 15mum, the D90 of the superfine solid sulfur ash is less than or equal to 30mum, the specific surface area is 450 to 1,500m<2>/kg, the 28d activity index is more than or equal to 75 percent, and the 28d self-hardening compressive strength is 7 to 15MPa. Compared with the common fly ash or slag powder in the prior art, the mineral admixture has the advantages that when concrete is prepared, the filling effect of fine particles can be fully exerted, the internal structure of the concrete is optimized, micro cracks produced by dry shrinkage or chemical shrinkage are inhibited to a certain degree, and the durability such as freezing resistance of the concrete can also be improved.