In this paper, we present a method to recon-struct cosmographic parameters,{q,j,s,l}and their evo-lution from particular cosmological models. In this methodinspired by dynamical system approach, we convert the equa-tion of the cosmological model into an equivalent systemof first order differential equations which is much easierto solve numerically. Then, we reproduce the cosmographicparameters in terms of these variables. Instead of best fittingthe cosmographic parameters with observation directly, webest fit and estimate the parameters and initial conditions ofthe model by observational, then the cosmographic parame-ters will be constrained automatically. The advantage of thismethod is that, it is free of some of shortcomings reconstruct-ing theories with higher-order derivatives. It also enable us tomeasure not only the current value of cosmographic param-eters{q0,j0,s0,l0}the past values,{qi,ji,si,li}, future val-ues{qf,jf,sf,lf}and their evolution. This can be a usefultool to test, compare and distinguish different cosmologicalmodels according to the reconstructed cosmographic param-eters at different epoch of the universe.
