A lead frame includes adjacent die pads which lie adjacent to each other; grounding leads extended from the adjacent die pads; a connecting bar by which the grounding leads extended from the adjacent die pads are interconnected. The grounding leads and the connecting bar are formed to be thinner at one surface than a maximum thickness of leads of the lead frame, the grounding leads extended from the adjacent die pads are aligned on a common axis while providing the connecting bar between the grounding leads, and a support projection is provided at the one surface on the connecting bar in the common axis.