A steerable surgical needle (10) includes an elongated needle shaft (12), a beveled tip portion (14), and a flexural element (16) that connects the needle shaft (12) with the tip portion (14) and permits the tip portion to deflect relative to the needle shaft. A method for steering the surgical needle (10) through tissue includes the steps of advancing the needle in the body tissue to induce tip flexure which causes the needle to follow a curved trajectory, and rotating the needle about its longitudinal axis in place, without advancement, to remove the tip flexure.