We have studied the effects of Ti doping on the magnetic properties of MgB 2 superconducting bulks. The trapped field, which was obtained by field-cooled magnetization, B T FC , was about 3.6 T at 13 K at the surface of the single Ti5-20% doped MgB 2 bulks, which was about 1.3 times larger than that of the non-doped bulk. The B T FC of 4.6 T was achieved at 14.1 K in the centre of the doubly stacked Ti-doped MgB 2 bulks. The remanent magnetic flux density, which corresponds to the trapped field by zero-field cooled magnetization, B T ZFC , was comparable with the absolute value of coercive force with a very small vortex creep rate of about 2% over 40 h. These results suggested that the MgB 2 bulk was an excellent 'quasipermanent' magnet. The critical current density, J c , under magnetic field was also enhanced by Ti doping; under 3 T at 20 K, the J c of 4.0 10 3 × A cm −2 for the pristine sample was enhanced to that of 1.6-1.8 10 4 × A cm −2 for the Ti-doped samples. The irreversibility field exceeded 5 T at 20 K for the Ti-doped samples. The existence of nanometric unreacted B and strongly Mg-deficient Mg-B particles and TiB 2 layers at the periphery of Ti precipitates was suggested in the Ti-doped bulks by microscopic observation. The improvement of the vortex pinning properties in Ti-doped MgB 2 originated from the creation of the nanometric nonsuperconducting particles and TiB 2 layers acting as strong vortex pinning centres.