In this paper, magnetization losses in high-Tc material (HTS) magnets are studied computationally by using a semi-analytical model. We show how conductor geometry, magnetic field dependence of critical current density, operation temperature and coil dimensions influence on the magnetization losses and loss distributions in magnets wound of HTS tapes. The loss computation is based on real electric field-current density characteristics of a Bi-2223/Ag tape measured at the temperatures of 4.2 and 77 K. According to the results, the location of the loss maxima and minima in a magnet is determined by the conductor geometry. The anisotropy of the conductor only slightly modifies the loss distribution but has a remarkable influence on the value of loss density. Due to the high aspect ratio of a tape conductor, the loss density is the highest on the bottom and top surfaces of the magnet where the radial component of the magnetic field is the highest.