Two new cyclohexanone derivatives, nectriatones A-B (1-2), and one new natural product, nectriatone C (3), together with three known phenolic sesquiterpene derivatives (4-6), were isolated from the culture of Nectria sp. B-13 obtained from high-latitude soil of the Arctic. The structures of all compounds were unambiguously elucidated by extensive spectroscopic analysis, as well as by comparison with the literature. These compounds were evaluated in cytotoxic and antibacterial activities. Compounds 1-6 showed cytotoxicities against SW1990, HCT-116, MCF-7, and K562 cells, with IC50 values in the range of 0.43 to 42.64 µM. Only compound 4 exhibited antibacterial activity against Escherichisa coli, Bacillus subtilis, and Staphylococcus aureus (MIC 4.0, 2.0, and 4.0 µg/ml, respectively).