The rational quadratic triangular Bézier is a new curve.Given four non-coplanar vertices and a point inside the convex hull of the vertices, a rational quadratic triangular Bézier curve was uniquely determined. The question to solve the parameter of the point on the curve and the inter weights was discussed,and two simple methods were proposed to avoid numerical instabilities. Finally, numerical examples were carried out checking,and the results were consistent with reality.