  We report the discovery of two giant planets orbiting the K giant HD 33844
based on radial velocity data from three independent campaigns. The planets
move on nearly circular orbits with semimajor axes $a_b=1.60\pm$0.02 AU and
$a_c=2.24\pm$0.05 AU, and have minimum masses (m sin $i$) of $M_b=1.96\pm$0.12
Mjup and $M_c=1.76\pm$0.18 Mjup. Detailed N-body dynamical simulations show
that the two planets remain on stable orbits for more than $10^6$ years for low
eccentricities, and are most likely trapped in a mutual 3:5 mean-motion
resonance.
