The Bernard F. Conners Prize for Poetry is given by the Paris Review "for the finest poem over 200 lines published in The Paris Review in a given year", according to the magazine. The winner is awarded $1,000.
A "given year" for the Paris Review appears not to mean "calendar year". The magazine's awards sometimes go to more than one poet in a calendar year and to none in other calendar years.
Winners
References
Bernard F. Conners Prize for Poetry Wikipedia(Text) CC BY-SA