The £500,000 refurbishment of Riverside House, on Nelson Street in Hull, is expected to take four months.
The firm is expected to move to the 4,841 sq ft building from its current premises at The Deep Business Centre in January.
The building, which dates back to the 1800s, once served as the offices for the Anglo Soviet Shipping Company, although it has been empty for a number of years.
Scott Yates, of Myton Law, said: “The choice of Riverside House, with its maritime links and location on the Humber, and our commitment to investing in its sympathetic restoration reflect who we are as a law firm and as individuals. Taking a new-build or out of town office unit might have been a quicker option, but we wanted a distinctive building in the heart of the city.”
Myton Law provides legal advice to exporters/importers, ship owners, port operators, logistics companies, insurers, insurance brokers and, increasingly, to the off shore renewable energy sector. The work, which is being carried out by a Hull-based project team, is being funded from its company reserves.