Surgical needle including a crimping zone for securing a suture to the needle. The needle is made of a hyper-elastic alloy which, after treatment, has two distinct states. One of the two distinct states allows the needle to be forced into a roughly elongated position when the needle is housed in an internal bore. Another of the two distinct states allows the needle to adopt a curved profile as a result of superelasticity or hyper-elasticity of the needle. The needle has a free end which has a tapered point which includes an inclined heel portion. The inclined heel portion is arranged on an inside portion of the curved profile.