FREE PARKING in Towson. The four-story office property located at 405 E Joppa Road in Towson, MD delivered in 1985. It's location is in close proximity to I-695, York Road and I-83, providing convenient walkable access to a number of amenities, shops and restaurants. The property is accessible from both Joppa Road and Fairmount Avenue. The property is located a short distance from downtown Towson and the exciting new development at Towson Town Center and along York Road. On-site management. Monument signage.