In this study, the effect of yarn linear density, delivery speed and nozzle pressure on Rieter air jet spun yarn strength was investigated. A multiple regression model was used to study the combined effect of these parameters and response surfaces were obtained. Results showed that by increasing the nozzle pressure, the yarn tensile strength improves till a specific limit, then it deteriorates afterwards. Based on the different combinations of processing variables, optimal running conditions were obtained. Along with the experiment, a mathematical model that predicts air jet spun yarn strength at a short gauge length has been presented. Fibre parameters in addition to yarn structural parameters were used to obtain the theoretical yarn strength. The results showed a satisfactory agreement between the experimental and theoretical results.