A practical method was devised for measurements of the diamagnetic response of high temperature superconductor specimens. The method is useful for the study of the temperature and field dependencies of the local magnetic induction and its twodimensional visualisation B(T,H,,x,y) with a resolution of 0.1 gauss and spatial resolution of 0.1 mm in the plane of the specimen surface. The proposed method facilitates quite simple and quick measurements at liquid nitrogen temperature and in applied Ha magnetic field in excess of I T. Cross-shaped miniature Hall probes (HPs) of thin film n-InSb on semi-insulating substrate i-GaAs with a small magnetically sensitive zone of 0.1 x 0.1 mm2 were used as measuring transducers. The high degree of doping of n-InSb layers (n -IO'* cm-3) resulted in a sensitivity of 5-7 PV mT-' (with nominal current up to IO mA through HPs) and thermosensitivity of less than 0.03% K-l, and made it possible to operate without the need for thermal stabilization of transducers. This method enabled us to study anisotropy of the critical current densities (J,) of melt-grown YBa,Cu,O, _ X pellets. Also, we have been able to determine local cracks and grain connectivity in the YBa,Cu,O,_, pellet samples.