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 : \Omega _ { m } = 0.240 ^ { +0.050 } _ { -0.130 } and \Omega _ { r _ { c } } = 0.000 ^ { +0.014 } at 1 \sigma 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 correspont to : \Omega _ { m } = 0.220 ^ { +0.020 } _ { -0.170 } and \Omega _ { r _ { c } } = 0.000 ^ { +0.025 } 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 . PACS : 98.80.-k , 98.80.Es , 95.36.+x