Calvin Mooney earned a point for Institute with a 75th minute equaliser, latching onto a David Ogilby flick, rounding Alan Blayney and firing home.
Kevin Kelbie and Gary Haveron had first-half chances for Ballymena while John O'Loughlin went close for 'Stute.
Kelbie put Ballymena in front on 53 when he rounded Michael Doherty and slotted in after strike partner Neil Teggart dipossessed Declan Divin.
Ruairi McClean was sent-off after 78 for retaliating to a challenge.
Doherty denied Kelbie early in the game while Blayney then blocked John O'Loughlin's angled drive.
Haveron saw a free-kick deflected wide of the post before the break.
Paul Brown had a chance for the home side before substitute Mooney's equaliser and then McClean was dismissed for reacting to Aidan Watson's challenge.
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