The cubic-tetragonal structural phase transition has been investigated in 3% Ca doped SrTiO3 crystals with perovskite structure by Brillouin light scattering in the temperature range between 90 and 500 K. The frequency and the width of longitudinal acoustic (LA) and transverse acoustic phonon modes show anomalous behaviour at Ttr = 275 K. The observed anomalies are ascribed to the structural phase transition from cubic to tetragonal phases in Ca doped SrTiO3. The behaviour of LA phonon in the critical region close to Ttr is discussed within the frame work of Landau–Khalatnikov relaxation theory. The relaxation time of the order parameter, which is calculated on the basis of the Landau–Khalatnikov type of relaxation mechanism, exhibits critical slowing down towards Ttr.