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Thin film samples of Ti-doped ZnO were grown on sapphire (0001) substrates by pulsed laser deposition (PLD). The magnetic moments were measured by SQUID magnetometry and the films were ferromagnetic at room temperature. The Faraday rotations and magnetic circular dichroisms (MCD) were measured as a function of energy at the range of 1.5-4 eV, and carrier concentrations were obtained from Hall effect measurement. The samples exhibited a band-edge shift, which varied with carrier concentration. Effective-mass of carriers were obtained by the Burstein-Moss effect and the band-gap shrinkage