A chip package is provided. The chip package includes a chip having an upper surface, a lower surface and a sidewall. The chip includes a sensing region or device region and a signal pad region adjacent to the upper surface. A shallow recess structure is located outside of the signal pad region and extends from the upper surface toward the lower surface along the sidewall. The shallow recess structure has at least a first recess and a second recess under the first recess. A redistribution layer is electrically connected to the signal pad region and extends into the shallow recess structure. A first end of a wire is located in the shallow recess structure and is electrically connected to the redistribution layer. A second end of the wire is used for external electrical connection. A method for forming the chip package is also provided.