The aim of this study is to develop a hybrid method using scale 3 Haar wavelets for obtaining the solution of coupled space-time fractional Burgers’ equation. Scale 3 Haar wavelets were used to estimate the solution by series approximation. Caputo and Riemann-Liouville definitions were used to handle the fractional derivatives and integrals in the problem. A quasi-linearization technique was implemented to handle the nonlinearity in the problems. Two examples of coupled space-time fractional Burgers’ equations were studied to analyze the performance of the proposed technique.