We report experimental observation of a large intrinsic anomalous Hall effect (AHE) in a hexagonal ferromagnetic Fe5Sn3 single crystal with current along b-axis and magnetic field normal to bc-plane. The intrinsic anomalous Hall conductance is about 613 {\Omega}-1 cm-1, which is three times larger than the frustrated kagome magnet Fe3Sn2 and is nearly independent of temperature over a wide range between 5 K and 350 K. The results indicate the large anomalous Hall conductance is dominated by a common, intrinsic term, while the extrinsic contribution, i.e., the skew scattering and side jump, turn out to be small. Moreover, we find that the types of majority carries change at about 275 K and 30 K, which is closely related to the spin reorientation with the temperature. These findings indicate that the hexagonal ferromagnetic Fe5Sn3 single crystal is an excellent candidate to study the topologically features in ferromagnets.