A multi-chip package with a LOC lead frame is disclosed. Such a LOC lead frame has a plurality of leads, with each lead being divided into an inner portion and an outer connecting portion. A first tape adhering under the inner portions of the leads fastens the first chip and the first bonding wires electrically connect the first chip with the inner portions. A second tape adhering upon the inner portions of the leads fastens the second chip and the second bonding wires electrically connect the second chip with the inner portions. The second tape has a thickness so as to avoid the first bonding wires touching the second chip. The multi-chip package enables to package at least two chips by a LOC lead frame without turnover action during wire-bonding.