This paper describes the construction, measurement, and characterization of an instrument for the distribution of luminous flux. This is done by measuring the flux around a light source while a detector and a source is rotating, and integrating it over an entire imaginary surface surrounding the source. We make a gonio radiometer to realize the scales of total luminous flux and geometrically integrate to get total spectral flux from standards of irradiance and illuminance. The uncertainties of a total flux in the gonioradiometry are 1.3%, and 0.4% below the standard lamps of NIST and NIM for each other.