In NDT (nondestructive testing) often a side-drilled hole (circular cavity) is used for calibration. In this paper scattering of ultrasonic waves by a circular hole is studied. The ultrasonic wave is generated by a transducer of finite dimension. A newly developed semi-analytical technique called Distributed point source method (DPSM) has been adopted to solve this problem. Even though this is an old problem the complete field of the scattered waves in presence of a hole in a half space near its boundary has not been shown in the literature yet. The scattered ultrasonic field (stress and displacement) is computed using DPSM and presented in the paper. Solution of this problem will also help us to understand the distortion of the ultrasonic field in the half-space due to the presence of a circular anomaly (cavity or inclusion) which plays an important role in structural health monitoring.