AllModern will open a store in Lynnfield followed by a second location in Dedham, while Joss & Main will open a store in Burlington, according to a statement.
The company said it is planning to launch additional stores for all five of its brands over the next two years.
Shares of the company gained more than 3% ahead of Tuesday's market open.
Price: 229, Change: +7.7, Percent Change: +3.48