Today is Election Day for the Montgomery County General Election and Tennessee Primary, with voting 7 a.m. to 7 p.m. at your precinct. CLARKSVILLE, TN (CLARKSVILLE NOW) – Today is Election Day for the Montgomery County General Election and Tennessee Primary, with voting taking place from 7 a.m. to 7 p.m. at your precinct location. This will not affect whether they vote with party affiliation in the Montgomery County General Election races. Nov. 3: Election Day for State General and City of Clarksville Election, with the mayor and half the City Council seats on the ballot. For more information on voting, go to the Montgomery County Election Commission website, visit their office at 350 Pageant Lane, Suite 404, email vote@mcgtn.net or call 931-648-5707.