Functions in replication-dependent translation of histone mRNAs which differ from other eukaryotic mRNAs in that they do not end with a poly-A tail but a stem-loop. May participate in circularizing those mRNAs specifically enhancing their translation. Interacts with EIF4G1, EIF4G2 and SLBP; probably tethered by SLBP to the 3'-end of mRNAs ending with the histone stem-loop, it also interacts with EIF4G1 which is bound to their 5'-end. Depletion of MIF4GD results in cell death and reduced histone mRNA translation. Belongs to the MIF4GD family.