Isaacson is running for the seat currently held by Sen. Bev Scalze, DFL-Little Canada, who announced this week she will not run for re-election.
Isaacson, a college instructor, was elected in 2012 and sits on Higher Education, Jobs and Energy and Rules Committees.
"I believe our district’s best days are ahead," he said in his Facebook statement. "I look forward to organizing a strong campaign and uniting local business leaders, workers, students and community organizations around a shared vision for our future."
If the status quo holds and Democrats retain control of the Senate, Isaacson would go from being in the minority in the House to the majority in the Senate.
A Duluth native who just barely lost Virginia's GOP gubernatorial primary said that politicians have not gone far enough in condemning the left for violence during a rally of white nationalists in Charlottesville. "I think that the left is going to try to use this as an excuse to crack down on conservative free speech," said Corey Stewart. "I think they're going to try to use this as an excuse to remove more historical monuments."