The Sydney Theatre Company's production of Uncle Vanya has received glowing reviews after its opening at the Lincoln Centre in New York at the weekend.

New York Times theatre critic Ben Brantley has described the production, directed by Tamas Ascher, as "glorious", saying the Hungarian director has delivered "what may be the most profoundly physical, and physically profound, interpretation ever of this 1897 play".

He praises the "uniformly brilliant cast" of Cate Blanchett, Richard Roxburgh, Hugo Weaving, John Bell, Jackie Weaver, Sandy Gore, Hayley McElhinney, Anthony Phelan and Andrew Tighe.

He goes on: "The irrefutable fact of Ms Blanchett's uncommon loveliness has never been better used. I had never realised before how much Vanya is about the disruptiveness of sheer beauty."

The reworked Anton Chekov classic was widely praised during its season at Sydney in 2010 and during a run at Washington's Kennedy Center in August last year.

It was snapped up by Lincoln Center Festival chief Nigel Redden following the success of another STC production in the US, A Streetcar Named Desire, which also starred Blanchett and Joel Edgerton.

Bloomberg reviewer Jeremy Gerard singles out Roxburgh, who plays Vanya in "a raffish, libidinous performance of bottled rage that turns deeply moving when he finally explodes", and McElhinney's "nuanced, restrained performance" as Sonya. The production continues at the Lincoln Centre until Saturday.