The "blessed hope" is "the appearing of the glory of our great God and Savior Jesus Christ." It is presented as what believers are waiting for while living in the present age. See Titus 2:13.
In Titus 2:11–14 Paul explains why the community’s daily behavior matters: God’s grace has “appeared,” and it does two things at once. It brings deliverance, and it trains people for a new way of living right now. This paragraph sits inside a larger set of practical instructions in Titus 2, where different groups (older and younger, men and women, servants) are urged to live in ways that fit “sound teaching.” Immediately before, Paul tells servants to act with integrity so that teaching is made attractive (2:9–10).
Paul ties everyday moral formation directly to the public “appearance” of God’s grace in history (verse 11). In the passage’s own logic, grace is not only help for the past (deliverance) but also an active teacher for the present (verse 12).
A careful answer keeps the immediate passage, the book's argument, and the whole-Bible storyline together, so the question is answered in context instead of as a detached idea.
Start with Titus 2:13, then read the surrounding section so the answer stays connected to the passage's flow.
13looking for the blessed hope and appearing of the glory of the great God and our Savior, Jesus Christ;