We report here the tentative discovery of a Jovian planet in orbit around the rapidly pulsating subdwarf B-type ( sdB-type ) eclipsing binary NY Vir . By using new determined eclipse times together with those collected from the literature , we detect that the observed-calculated ( O-C ) curve of NY Vir shows a small-amplitude cyclic variation with a period of 7.9 years and a semiamplitude of 6.1 s , while it undergoes a downward parabolic change ( revealing a period decrease at a rate of \dot { P } = -9.2 \times { 10 ^ { -12 } } ) . The periodic variation was analyzed for the light-travel time effect via the presence of a third body . The mass of the tertiary companion was determined to be M _ { 3 } \sin { i ^ { \prime } } = 2.3 ( \pm 0.3 ) M _ { Jupiter } when a total mass of 0.60 M _ { \odot } for NY Vir is adopted . This suggests that it is most probably a giant circumbinary planet orbiting NY Vir at a distance of about 3.3 astronomical units ( AU ) . Since the rate of period decrease can not be explained by true angular momentum loss caused by gravitational radiation or/and magnetic braking , the observed downward parabolic change in the O-C diagram may be only a part of a long-period ( longer than 15 years ) cyclic variation , which may reveal the presence of another Jovian planet ( \sim 2.5 M _ { Jupiter } ) in the system .