Abstract--This paper proposes a new method for optimal placement of Phasor Measurement Units (PMUs) across the weak areas of the power system to monitor the status of the boundary buses during Parallel Power System Restoration (PPSR). The proposed PMU placement method is based on an Integer Linear Programming (ILP) methodology. For validation purposes, the proposed method is implemented across the weak areas of the following two test systems: New England 39-bus test system and IEEE 118-bus test system. Index Terms--Parallel power system restoration, phasor measurement unit, power system restoration, slow coherency, synchronised measurement technology, weak area, weak connection.