"his rendition" is correct and usable in written English.
It typically means a person's interpretation of something. For example, "I was really impressed by his rendition of the classic song."
His rendition is heavy, trenchant.
His rendition of taps transcended the occasion.
(Scroll down to hear his rendition of "Cabaret").
His rendition of "Handsome Johnny" became an anti-Vietnam War anthem.
In his rendition of "Leave Right Now", Moyles sang: "Oooh Will Young here, mmmm.
Mr. Lazar has a strong baritone, but his rendition of "Being Alive" lacked an interpretive center.
His rendition of "You've Got to Be Carefully Taught" is a showstopper with real sting.
Even as Brydon delivers his rendition, however, Coogan disputes his technique.
Here's his rendition of the anthem at Woodstock, a year later.
I approached his rendition with something akin to cynicism; Bush's version was good enough for me.
Cameron put on a nasal, whiny voice — his rendition of a fixated fanboy.
