The Wiener Staatsoper website states that:
BUY TICKETS 2022/23
Tickets for September and October 2022 are on sale since 10am on May 16th, 2022. Thereafter, tickets will go on sale two months in advance on the first of each month for the entire month. For example, on September 1st, for the whole of November or on October 1st, for the whole of December.
You can pre-order tickets for performances that are not yet on sale. You can find more information under PRE-ORDER.
Ticket pre-orders for performances from November 1st until the end of season 2022/23 are available since May 16th.
Tickets can be bought online, by phone by calling +43 1513 1513, or in person. Pre-orders can be made online, in writing, or in person.