Abstract This paper extends the randomized response model presented in Christofides (Metrika 57 (2003)195) to the case of stratified sampling. A comparison between the application of the technique in stratified and simple random sampling is presented. In addition, the model is compared with the randomization technique in stratified sampling of Kim and Warde (J. Statist. Plann. Inference 120 (2004) 155).