Context : Until now , only one planetary nebula ( PN ) has been known in the Fornax dwarf spheroidal galaxy . Aims : The discovery of a second PN candidate , associated with one of the 5 globular clusters in the Fornax dwarf , is reported . Methods : Spectra of the globular cluster H5 , obtained with the UVES echelle spectrograph on the ESO Very Large Telescope , show [ O iii ] line emission at a radial velocity consistent with membership of the Fornax dwarf . A possible counterpart of the [ O iii ] emission is identified in archival images from the Wide Field Planetary Camera 2 on board the Hubble Space Telescope . The source of the emission is located about 1 \aas@@fstack { \prime \prime } 5 ( less than one core radius ) southwest of the centre of the cluster . Results : The emission line source is identified as a likely PN , albeit with several peculiar properties . No H \beta , He i , or He ii line emission is detected and the [ O iii ] /H \beta ratio is > 25 ( 2 \sigma ) . The expansion velocity inferred from the [ O iii ] 5007Å line is V _ { e } \approx 55 km s ^ { -1 } , which is large for a PN . The diameter measured on the HST images is about 0 \aas@@fstack { \prime \prime } 23 or 0.15 pc at the distance of the Fornax dSph . Conclusions : This object doubles the number of known PNe in Fornax , and is only the 5th PN associated with an old GC for which direct imaging is available . It may be a member of the rare class of extremely H-deficient PNe , the second such case found in a GC .