Denervation with a catheter may be used for treating hypertension. Catheters may be difficult or time consuming to operate. Some of catheters proposed in the past may cause stenosis and may not properly block nerves. The present disclosure relates to a catheter for denervation, which ablates a part of nerves to inactivate nerve conduction, and a denervation apparatus having the catheter. The present disclosure is designed to alleviate or address the problems of the related art, and therefore the present disclosure is directed to providing a catheter for denervation that may effectively block nerves around a blood vessel by including a plurality of electrodes and also improve a tip structure not to increase a size. Some embodiments relate to a catheter for denervation comprising: a catheter body; a movable member; an operating member; a plurality of support members; a plurality of electrodes; and a lead wire, wherein at least one of the catheter body and the movable member is connected to at least two support members at points which are spaced apart from each other by a predetermined distance in the longitudinal direction of the catheter body, and wherein at least one of the catheter body and the movable member has a step formed at a surface thereof which is connected to the support member or is inclined at a surface thereof which is connected to the support member.