Brown, 18, was the No. 11 selection of the 2016 NHL Draft. He's the 12th player picked in the first round of the 2016 draft to sign an entry-level contract.
Senators general manager Pierre Dorion said one of the advantages to signing Brown now was to give him the chance to play in preseason games and potentially earn a spot on the NHL roster.
"I think for us to sign someone like Logan was important," he said. "It's an important step in the direction of this organization. A player that is committed with his training hear in the summer, what we saw at development camp, what we saw from him last year. He's definitely someone that's going to be a big part of our future. Wherever he plays he's going to be someone that generates offense. Getting it done before training camp also gives him a chance to play [preseason] games and maybe get at spot on our team this upcoming year."
A 6-foot-6, 220-pound left-shot center, Brown had 21 goals and 74 points in 59 games with Windsor of the Ontario Hockey League last season. He also helped the United States win the bronze medal at the 2016 IIHF World Under-18 Championship with three goals and nine assists in seven games. His 12 points were fourth among all players.
Brown spent part of his summer at the USA Hockey National Junior Evaluation Camp in Plymouth, Mich. The camp is the first step in picking the team that will play for the U.S. at the 2017 IIHF World Junior Championship. That tournament will be played in Toronto and Montreal from Dec. 26 to Jan. 5, 2017.