© 2014, The Author(s). A search for axioelectric absorption of solar axions produced in the (Formula presented.) reaction has been performed with a BGO detector placed in a low-background setup. A model-independent limit on the combination of axion–nucleon and axion–electron coupling constants has been obtained: (Formula presented.) for 90 % confidence level. The constraint of the axion–electron coupling constant has been obtained for hadronic axion with masses of (0.1–1) MeV: (Formula presented.).