Two new methods have been proposed for the construction of Partially Efficiency Balanced Designs with and without repeated blocks. Method 1 discusses the construction of Partially Efficiency Balanced Design with repeated blocks by reinforcing some treatments in two BIBDs of the series , , and , , . Method 2 discusses the construction of Partially Efficiency Balanced Design without repeated blocks by reinforcing some treatments in BIBDs of the series , , where s is any positive integer . The methods are illustrated with suitable example.