The time and amplitude characteristics of a scintillation counter were investigated on an accelerator beam with a momentum of 5 GeV/c at the Institute for High Energy Physics. The scintillator, with a length of 2 m and a cross section of 2.5 × 2.5 cm2, was viewed from its end faces by ΦЭУ-115M photomultiplier tubes (PMTs). The dependences of the signal amplitude and the time resolution of a PMT on the position of a particle track along the scintillator were described by quadratic exponentials. When a constant fraction discriminator was used to form the PMT signal, the time resolutions at the center and at the periphery of the counter were 150 and 80 ps, respectively. Better results were obtained with a standard leading-edge discriminator after correcting the dependence of its response time on the signal amplitude.