An electronic device mounting system can be used to attach electronic devices, such as rangefinders and video cameras, to weapons. The mounting system includes a support portion for resiliently supporting the electronic device and a mounting portion for attaching the support portion and attached electronic device to a weapon. The support portion is universal in that it can be used with a number of interchangeable mounting portions. Each mounting portion is adapted for securing the support portion to a particular type of weapon or weapon accessory.