© 2017, The Author(s). Advanced LIGO detected a significant gravitational wave signal (GW170104) originating from the coalescence of two black holes during the second observation run on January 4th, 2017. An all-sky high-energy neutrino follow-up search has been made using data from the Antares neutrino telescope, including both upgoing and downgoing events in two separate analyses. No neutrino candidates were found within ± 500 s around the GW event time nor any time clustering of events over an extended time window of ± 3 months. The non-detection is used to constrain isotropic-equivalent high-energy neutrino emission from GW170104 to less than ~ 1.2 × 10 55 erg for a E- 2 spectrum. This constraint is valid in the energy range corresponding to the 5–95% quantiles of the neutrino flux [3.2 TeV; 3.6 PeV], if the GW emitter was below the Antares horizon at the alert time.