Semiconductor packages are provided to prevent a chip, such as a central processing unit (CPU) chip, from being degraded due to hot spot heat generated during the operation of the chip and absorbs thermomechanical stresses in interfaces between the chip, a thermal interface material (TIM) and a lid. The chip is electrically connected, e.g., flip-chip bonded, to a package substrate. The lid is thermally connected to and disposed over a back surface of the chip with the TIM interposed therebetween. A heat dissipation means adjacent the TIM is also located between the lid and the chip to prevent the hot spot effect.