A process for creating a laser braze weld joint between a current collector and a terminal pin in the construction of electrochemical cells is described. The laser braze welding process utilizes a laser weld instrument to create a braze-like joint between two work pieces. The weld joint is created by controlling the amount of laser heat and energy imparted to the work pieces through proper control and positioning of the laser beam with respect to the work pieces. Preferably, the method is used to bond the terminal pin to the cathode current collector. This method of attachment is suitable for either primary or secondary cells, particularly those powering implantable biomedical devices.