The nonheterocystous filamentous cyanobacterium strain ESFC-1 has recently been isolated from a marine microbial mat system, where it was identified as belonging to a recently discovered lineage of active nitrogen-fixing microorganisms. Here, we report the draft genome sequence of this isolate. The assembly consists of 3 scaffolds and contains 5,632,035 bp with a GC content of 46.5%.