In this paper, gonio reflection properties of paper sheets were estimated from the measurements with small number of geometries. The estimation was based on the modeling of gonio reflection properties by the linear combination of Torrance-Sparrow model and Lambertian reflection. The model showed good correspondences with the reflection properties of paper sheets in wide range of glossiness. For relatively rough papers, the estimation of gonio reflection properties were achieved only with four geometries at the equal precision in the case of 284 geometries. For papers of high glossiness, the precise sampling at specular geometries was required.