A strain-resistant electrical connection and a method of making the same is provided. A wire or other conductive lead is connected to a circuit in a manner that makes the connection more resistant to mechanical stresses such as movement or rotation of the lead relative to the circuit. A material is configured around the lead and near the point of connection to the circuit so as to create a region of decreasing flexibility or graduated stiffness near the point of connection. In certain embodiments, the lead may also be coiled or otherwise shaped to provide additional ability to withstand mechanical stresses. In other embodiments, additional elements may be provided to assist in controlling the stiffness near the connection point.