To provide a counting method for accurately counting radiative rays, etc., over a wide range from the state of a low counting rate to the state of a high counting rate. Provided are: a method for setting a wave-height discriminating threshold value, and counting the frequency of signals exceeding the wave-height discriminating threshold value, wherein, when a counting objective component shows a peak in a wave-height distribution spectrum, an arbitrarily defined value selected from the range of ([mu]-0.4[sigma]) to ([mu]+0.6[sigma]) is set as the wave-height discriminating threshold value, where [sigma] represents the standard deviation and [mu] represents the average wave-height value obtained by fitting a Gaussian function for the peak; and a radiation detection apparatus which processes signals by using the counting method. The counting method and the radiation detection apparatus according to the present invention enable reduction of an error given to a count value due to pile-up, and enable accurate counting of radiative rays, etc., over a wide range from the state of a low radiation dosage rate to the state of a high radiation dosage rate.