Beginning with the paper of Zhang (2000), we develop a pecuniary transactions cost (TC) approach to build up a monetary endogenous growth model and examine the principal relationships and results concerning nominal interest rate targeting and growth. Meanwhile, according to Hahn (1991) and Eriksson (1995) pointed out there has been a trend decline in labor supply, we introduce the labor-leisure choice of Turnovsky (2000) to amend the utility function and the production function. In the comparison of two macro-models, we can conclude: 1. Under the inelastic labor supply endogenous growth model, if the central bank raises the nominal interest rate targeting will damage to the growth rate. 2. Under the elastic labor supply endogenous growth model, if the central bank raise the nominal interest rate targeting will induce ambiguous effect of the growth rate depending on the labor-leisure choice reaction of nominal interest rate, the bigger reaction may get the higher growth rate.