The 25-year-old earned 64 percent of the vote, beating competition from Angel di Maria (27%) and Juan Mata (9%), to earn the accolade as United saw off a resilient Yeovil side and secured their place in the hat for the FA Cup fourth round.
The Red Devils had a few scares in the match, but with nearly 70 percent of the possession the game was always in their control.
After a dull first-half showing, which ended in a stalemate, the game suddenly burst into life when Yeovil spurned a golden opportunity to take the lead.
Not long after, Man of the Match winner Herrera scored one of the goals of the whole round with a stunning twisting half-volley which looped over the hapless goalkeeper.
Di Maria finished off the scoring, following a well-worked counter-attacking move, with a little lob over the onrushing goalkeeper.
The performance by United, while not one to boast about too much, showed the individual quality in the squad which can win games out of nothing.
Herrera's goal, in particular, should give Louis van Gaal something to think about in the future when making his team selection as it showed an explosive finish from a cultured central midfielder - the perfect combination.
If he can add a bit more to his game, Herrera will have little trouble being selected to play week in, week out despite the strength of the United squad.