Smith put in a typically hard-working shift at the back and also created a number of attacking chances for the Cherries.
The right-back received 34% of supporters' votes, narrowly beating Harry Arter (32%) in second by just 2%.
Charlie Daniels came third in the vote and received 28%, whilst Benik Afobe got 6%.
Don't forget to vote in Mansion's Man of the Match poll every home game. Just by casting your vote you could win a signed Cherries home shirt.
Four players are chosen after each fixture at Vitality Stadium and you can be in with a chance of winning by voting on afcbwin.com
Cherries Player HD subscribers can now re-watch the full 90 minutes of the Arsenal match here