He knows exactly how much of the familiar repertoire to repeat. As on previous visits, he opened with two upbeat numbers from The Future album, followed by Bird on the Wire, the deceptively simple tune that he is said to believe he has never quite nailed.
Then came the new ones, from the album Old Ideas released last year. On the recording the songs sound sleepy and almost carelessly indulgent. On stage, he invests them with vocal intensity and songs such as Amen and Show me the Place are revealed as anthems to rank with his best.
Best of them all is Come Healing, a haunting close harmony with his back-up singers, Sharon Robinson and the Webb Sisters.
Robinson, co-composer of some of his work, stole the show for a moment on Saturday night. He gave her a solo for the sublime Alexandra Leaving which they recorded in duet on the Ten Songs collection. Robinson slowed it down, drew it out and made it exquisite.
Hattie and Charley Webb had to wait for the encores for their solo, the heavenly If it Be Your Will, with the angelic Hattie playing harp.
Cohen gives all of his supporting cast their moment in the light, turns to them and doffs his hat while he listens. Respect is the defining character of his performance, not just for them but for the audience, the music and the words that only he knows how hard he worked to chisel them to what he wanted, often long ago.
It is the mature respect that does not take itself too seriously. He calls himself, in another track from the latest album, "a lazy bastard living in a suit". One of those words is not true. On stage he is anything but lazy, dropping to his knees and standing up on cue, still lithe at 79.
After two-and-a-half hours he skipped from the stage to another standing ovation, but it was another 45 minutes before we let him go. For the last of four encores he departed from his own material to lead the audience in Save the Last Dance for Me. But the most appropriate sign-off came on the second encore. Famous Blue Raincoat normally ends, "sincerely, L Cohen". This time he sang, "sincerely, a friend".