Award availability is whether a specific reward can actually be redeemed at the time a member wants it, most commonly whether an airline is releasing seats for miles on a particular flight and date. A member can hold plenty of points yet find no award seats on the route they want, because the operator controls how much inventory it opens to redemption.
A member with enough miles for a business-class award may search their preferred dates and find no award seats released, even though cash seats are for sale. The points are sufficient, but the availability is not, which is a frequent source of member frustration.
For an operator, availability is a direct lever on both member satisfaction and revenue. Releasing more award inventory honors the currency's value and keeps members happy, but every award seat is a seat not sold for cash, so programs manage availability to balance the two. Handled poorly, tight availability makes points feel worthless and undermines the earning behavior the program depends on. Handled well, it keeps redemption meaningful without giving away high-demand inventory.