Massachusetts State Route 32 is a north-south highway in Eastern Hampden County. It runs from the Connecticut/Massachusetts State Line to the Hampden/Hampshire County Line. MA St Rt 32 passes through the following towns in Hampden County. South Monson Monson North Monson Palmer MA St Rt 32 is multi-plexed in Hampden County. U.S. Rt. 20, near Palmer. MA St Rt 32 intersects the following highways in Hampden County. U.S. Rt. 20, near Palmer. U.S. Rt. 20, near Palmer. Interstate 90, (Massachusetts Turnpike), near Palmer.