In mammals, dosage compensation of X-linked genes is achieved by the transcriptional silencing of one X chromosome in the female (reviewed in ref. 1). This process, called X inactivation, is usually random in the embryo proper. In marsupials and the extra-embryonic region of the mouse, however, X inactivation is imprinted: the paternal X chromosome is preferentially inactivated whereas the maternal X is always active. Having more than one active X chromosome is deleterious to extra-embryonic development in the mouse 2. Here we show that the gene eed (embryonic ectoderm development) 3, 4, a member of the mouse Polycomb group (Pc-G) of genes, is required for primary and secondary trophoblast giant cell development in female embryos. Results from mice carrying a paternally inherited X-linked green fluorescent protein (GFP) transgene implicate eed in the stable maintenance of imprinted X inactivation in extra-embryonic tissues. Based on the recent finding that the Eed protein interacts with histone deacetylases, we suggest that this maintenance activity involves hypoacetylation of the inactivated paternal X chromosome in the extra-embryonic tissues.