The amplitudes of the first harmonic of the diurnal variation in the pressure‐corrected cosmic‐ray neutron monitor rate have been examined for several stations at different altitudes but at the same cutoff rigidity (∼1.3 Gv). An increase in the amplitude of the mean diurnal variation from sea level to 800 g/cm² is observed, which is 19.4±4.2% for 1964 to 1965, and 7.8±3.3% for 1967 to 1968. Several effects are required to explain this variation with altitude and its observed time dependence, the most significant of which is the diurnal change in geomagnetic cutoff rigidity.