Brookline Bank 72 Mall Rd, Burlington, MA01803 Brookline Bank first opened its doors in 1871 as a single branch. Today, Brookline Bank operates 20 branches throughout…More the Greater Boston area, with 2 in the city of Burlington. Brookline Bank offers a highly personalized customer experience for each client, no matter what their balance or account type. A wide variety of services are available from Brookline Bank for personal, business and commercial customers-- all designed to best fit the needs of each client type. Brookline Bank also makes managing your finances fit your lifestyle. They offer free ATM fees, online banking and telephone banking.