In order to test if there is energy transfer between dark energy and dark matter , we investigate cosmological constraints on two forms of nontrivial interaction between the dark matter sector and the sector responsible for the acceleration of the universe , in light of the newly revised H ( z ) data , the baryonic acoustic oscillation ( BAO ) peak detected by large-scale correlation function of luminous red galaxies from Sloan Digital Sky Survey ( SDSS ) , the cosmic microwave background ( CMB ) observations and the most recent 557 Union2 SNe Ia data . For the \gamma _ { m } IDE model in which the interaction term expresses as Q = 3 \gamma _ { m } H \rho _ { m } with the corresponding constant \gamma _ { m } quantifying the extent of interaction , we obtain \gamma _ { m } = -0.013 _ { -0.011 } ^ { +0.013 } , \gamma _ { m } = -0.009 _ { -0.012 } ^ { +0.013 } and \gamma _ { m } = -0.011 _ { -0.011 } ^ { +0.012 } with H ( z ) +BAO+CMB , SNe Ia+BAO+CMB and H ( z ) +SNe Ia+BAO+CMB , respectively . For the \gamma _ { d } IDE model in which the interaction term takes the form Q = 3 \gamma _ { d } H \rho _ { X } with the corresponding constant \gamma _ { d } quantifying the extent of interaction , the best-fit values are \gamma _ { d } = -0.040 _ { -0.042 } ^ { +0.042 } , \gamma _ { d } = -0.023 _ { -0.040 } ^ { +0.039 } and \gamma _ { d } = -0.030 _ { -0.037 } ^ { +0.037 } . These results indicate that , on the one hand , the concordance \Lambda CDM model without any interaction remains a good fit to the recent observational data ; on the other hand , the interaction that the energy transferring from dark matter to dark energy is slightly favoured over the interaction delivering energy from dark energy to dark matter , which is in agreement with the results by using other observational data such as the 182 Gold SNe Ia and 397 Constitution SNe Ia samples in the previous works .