Market Days Festival Returns to Downtown Concord, NH - June 23-25. Intown Concord’s free 3-day event features food, shopping, music, 140+ vendors, 36 hours of community fun! SAME PLACE, JUNE DATES!: Intown Concord’s 42nd Annual Market Days Festival returns to historic downtown Concord, New Hampshire, this summer – Thursday, June 23 through Saturday, June 25, 10:00am to 10:00pm daily.