This paper develops a two-sector growth model in which the process of structural change in the sectoral composition of employment and GDP is jointly determined by non-homothetic preferences and labor mobility cost. This cost, paid by workers moving to another sector, limits structural change. Our model can explain the following patterns of development of the US economy throughout the period 1880-2000: (i) balanced growth of the aggregate variables in the second half of the last century; (ii) structural change in the sectoral composition of employment between agriculture and non-agriculture sectors; (iii) structural change process in the sectoral composition of GDP between these sectors; and (iv) wage convergence between the two sectors. We outline that the last two patterns can only be explained if labor mobility cost is introduced. Results reveal that mobility cost generates a misallocation of production factors. This implies a loss of GDP which amounts to over 30% of the GDP throughout initial periods according to the calibrated model. During the transition, the loss of GDP decreases and eventually vanishes. Thus, the elimination of the misallocation explains part of the increase in the GDP. Additionally, this study points out that misallocation introduces a mechanism through which cross-country differences in sectoral composition may account for cross-country income differences.