We investigate observational constraints on the normal branch of the warped DGP braneworld cosmology by using observational data from Type Ia Supernovae (SNIa), baryon acoustic oscillations (BAO), cosmic microwave background (CMB) and baryon gas mass fraction of cluster of galaxies. The best fit values of model free parameters are: Xm ¼ 0:240þ0:050 0:130 and Xrc ¼ 0:000þ0:014 at 1r confidence interval by using gold sample SNIa + CMB shift parameter + BAO + gas mass fraction of baryons in cluster of galaxies. The results for essence sample SNIa combined with CMB shift parameter, BAO and baryon gas mass fraction correspond to: Xm ¼ 0:220þ0:020 0:170 and Xrc ¼ 0:000þ0:025 at 68.3% confidence interval. We determine the age of the universe by using these best fit values. We also study the effective cosmological dynamics on the brane via an effective equation of state parameter and the deceleration parameter to conclude that an effective phantom-like behavior arises in this scenario.