Sponges are among the earliest branching extant animals. As such, genetic data from this group are valuable for understanding the evolution of various traits and processes in other animals. However, like many marine organisms, they are notoriously difficult to sequence, and hence, genomic data are scarce. Here, we present the draft genome assembly for the North Atlantic deep-sea high microbial abundance species Geodia barretti, from a single individual collected on the West Coast of Sweden. The nuclear genome assembly has 4,535 scaffolds, an N50 of 48,447 bp and a total length of 144 Mb; the mitochondrial genome is 17,996 bp long. BUSCO completeness was 71.5%. The genome was annotated using a combination of ab initio and evidence-based methods finding 31,884 protein-coding genes.