We developed a new method called MP2, for partitioning networks into multiple (>2) blocks each of which has both size and pin constraints. The MP2 method uses an improvement approach and tries to minimize the total number of terminals of all blocks while satisfying the pin and size constraints of every block. It supports multiple classes of cells in input networks and blocks. It makes use of a scalar value of benefit which captures lookahead information. It is the first improvement method that considers pin constraints of blocks. It has been applied to partitioning technology-mapped circuits into multiple FPGA chips. In addition to describing the MP2 method, we will discuss some interesting findings we gleaned during our experiments.