Dy_{2}Zr_{2}O_{7} a disordered pyrochlore system, exhibits the spin freezing behavior under the application of the magnetic field. We have performed detailed magnetic studies of Dy_{2-textit{x}}La_textit{x}Zr_{2}O_{7} to understand the evolution of the magnetic spin freezing in the system. Our studies suggest the stabilization of the pyrochlore phase with the substitution of non-magnetic La along with the biphasic mixture of fluorite and pyrochlore phases for the intermediate compositions. We observed that the spin freezing (T_{f}sim 17 K) at higher La compositions (1.5 letextit{x}le 1.99) is similar to the field-induced spin freezing for low La compositions (0 letextit{x}le 0.5) and the well-known spin ice systems Dy_{2}Ti_{2}O_{7} and Ho_{2}Ti_{2}O_{7}. The low-temperature magnetic state for higher La compositions (1.5 letextit{x}le 1.99) culminates into a spin-glass like state below 6 K. Cole–Cole plot and Casimir-du Pracute{e} fit shows the narrow distribution of spin relaxation time in these compounds.