  This paper presents a search for correlation in the arrival directions of
2190 neutrino candidate events detected in 2007-2008 by the ANTARES telescope,
and 69 ultra-high energy cosmic rays (UHECRs) observed by the Pierre Auger
Observatory between January 1st 2004 and December 31st 2009. No significant
correlation was found. The corresponding 90% C.L. upper limit on the neutrino
flux from each observed UHECR direction (assuming an equal flux from all of
them and for $E^{-2}$ energy spectrum) is 4.99$\times10{^{-8}}$ GeV cm$^{-2}$
s$^{-1}$.
