We have examined the time series of hourly values of cosmic ray intensity over the years 1974--1990, observed by neutron monitors at Calgary and Lomnicky Stit, for the scaling properties. The scaling is shown to exist in intervals of 32--256 hours in data over several years. Fractal structure is deduced with statistically insignificant evidence of multifractal behavior. The higher moments of the distribution have, in many years, symmetric properties, i.e., the scaling is similar for the same order (positive and negative). ¿ American Geophysical Union 1993