Upon fertilisation, the sperm pronucleus acquires the competence to replicate the genome through a cascade of events that link chromatin remodelling to nuclear envelope formation. The factors involved have been partially identified and are poorly characterised. Here, using Xenopus laevis egg extracts we show that RNAs are required for proper nuclear envelope assembly following sperm DNA decondensation. Although chromatin remodelling and pre-replication complex formation occur normally, RNA-depleted extracts show a defect in pre-RC activation. The nuclear processes affected by RNA-depletion included ELYS recruitment, which accounts for the deficiency in nuclear pore complex assembly. This results in failure in chromatin relaxation as well as in the import and proper nuclear concentration of the S-phase kinases necessary for DNA replication activation. Our results highlight a translation-independent RNA function necessary for the parental genome progression towards the early embryonic cell cycle programme.