An apparatus for sterilizing a female patient in a transcervical procedure comprises an elongated catheter with a piezoelectric ultrasound transducer at its distal end. The catheter is inserted transcervically into the uterus and guided to the intramural region of a fallopian tube. The transducer is inserted into the intramural region in direct contact with the surrounding tissue. The transducer produces a radially dispersing acoustical wave front, heating the adjacent tissue and forming a thermal lesion therein. A fibrous tissue forms during the healing process, sealing the fallopian tube. An embodiment of the apparatus includes a movable thermal sensor for monitoring the tissue temperature at multiple locations along the lesion. Another embodiment of the apparatus includes a spring that centers the distal end of the catheter at the opening of the fallopian tube and provides a tactile means to determine that the catheter and transducer have been correctly positioned.