In order Lo acquire new informntion about the normal-incommensurate (IC) phase transition and to check the existence of a lock-in transition in 4,4'-dichlombiphenyl sulphone (4.4'-0Css), a comprehensive "Cl nuclear quadrupole resonance (NQR) study is reported.Detailed NOR mwurements of frequency, line width and spin relaxation time ( T I ) were obtained in the temperature range 80-270 K. The results show that the IC phose is present from 1.50 K down to 80 K. The behaviour of the NQR spectrum in the trmsition region suggests that the IC modulation IS dominated by the first-order term in the order panmeter. The tt values at the p e L s of the IC specmm are quite different, suggesting strong onharmonic effects. No lock-in rrmsition was detected at 115 K. Small changer in the temperature behaviour of the frequency and the tl of the low-frequency IC peak were observed from temperatures lower than 110 K. Neither impurities nor thermal hysteresis effects were detected.