We present high-precision, multi-band CCD photometry of two less-studied close binaries V1123 Tau and V1128 Tau. Complete covered light curves and a number of new times of light minima of the two eclipsing systems were obtained, based on which, revised orbital elements and new ephemerides were given. By adopting the Wilson-Devinney method, the light curves were analyzed. The photometric solutions confirm the W UMa-type nature of the binary systems. With the less-massive secondary slightly cooler than the primary, V1123 Tau could be classified as an Atype contact system. While V 1128 Tau is typically considered a W-type W UMa star, the surface temperature of its secondary component is determined to be absolutely higher than the primary by about 270 K. Combining with the results of radial-velocity solutions, we determined absolute parameters of the two systems. The mass, radius and luminosity for each component of V1123 Tau were derived as: 1.36±0.05M , 1.37±0.02R , and 2.01±0.07L and 0.40±0.02M , 0.80 ±0.01R , and 0.67±0.04L , respectively. For V1128 Tau, the absolute parameters were computed to be 1.09 ±0.03M , 1.01±0.01R , and 1.34±0.06L and 0.58±0.01M , 0.76 ±0.01R , and 0.91±0.05L , respectively. Based on these results, the evolutionary status and the physical nature of the two binary systems are discussed, while also connecting with the theoretical models.