CO2 geological storage is one of the most economical and reliable techniques for reducing CO2 emission, and the understanding of CO2 reactive transport in reservoirs is critical for that. Dardis’s porous model, coupled with our previous CO2 reactive model, is presented to investigate the reactive transport in throat fractured media. According to the velocity field results, the velocity in fracture is much higher than that in matrix and it reaches the maximum value at centerline in throat. The main dissolution reaction occurs near the inlet region, and along the upper and bottom edges of the fracture. There is nearly no dissolution along the edges after downstream throat, which is mainly affected by the throat. The concentration of H+ ion in fracture and throat is higher than that in the matrix; while the higher concentration of Ca2+ ion occurs in the region of downstream matrix. And then, the comparisons among different throat positions are also made to analyze the effects of the throat position on the distribution of dissolution rate and species concentration. Finally, the fractured media with sudden reaming is simulated, and it is found that the velocity and component migration in the fracture are enhanced, which is totally contrary to the case with throat fracture. All the above results show the capability of the present model in simulating CO2 reactive transport in complex fractured media.