The results of observations of the pulsar B0301+19 (J0304+1932) carried out on the Large Scanning Antenna of the Pushchino Radio Astronomy Observatory at 111 MHz during 2012–2017 are analyzed. The regular generation of powerful individual pulses at the longitudes of both components of the mean profile of the pulsar, classified as giant pulses, was observed. The most powerful of these pulses had a peak flux density of ≈935 Jy and a pulse energy of ≈6930 Jyms. The highest excess of the flux density relative to the value for the mean profile in a session was 93.7. The mean full width at half maximum of the most powerful giant pulse at was 2.8ms, with the width of the corresponding component in the mean profile being about 10 ms. The distributions of the peak flux densities and pulse energies of these anomalously strong pulses are complex, and cannot be reduced to a simple lognormal or power-law distribution over the entire range of values.