Cock, which investigated one man's bisexuality and the love triangle that ensues, premiered Off-Broadway last season following a 2009 London debut at the Royal Court Theatre. U.S. critics praised Bartlett's work.

Bull, directed by Clare Lizzimore, recently concluded a run at the Crucible Studio, Sheffield. It will begin Off-Broadway performances April 25 for a limited run through June 2 at 59E59 Theaters.

Here's how it's billed: "Two jobs. Three candidates. This would be a really bad time to have a stain on your shirt… Bull is a razor sharp play about office politics; or playground bullying – depending which side you're on."

Read more about the previously announced Brits Off-Broadway line-up for 2013. 

Bartlett's plays also include Earthquakes in London, Love Love Love, Artefacts, Contradictions and My Child. Tickets to Brits Off Broadway are available by calling Ticket Central at (212) 279-4200 or online at 59e59.org.

For more information on Brits Off Broadway, visit britsoffbroadway.com.

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59E59 Theaters, a collection of intimate spaces on East 59th Street near Madison Avenue, is run by artistic director Elysabeth Kleinhans and executive producer Peter Tear.