We report the observation of a very high energy gamma -ray source whose position is coincident with HESS J1841-055. This source has been observed for 4.5 years by the ARGO-YBJ experiment from 2007 November to 2012 July. Its emission is detected with a statistical significance of 5.3 standard deviations. Parameterizing the source shape with a two-dimensional Gaussian function, we estimate an extension (ProQuest: Formulae and/or non-USASCII text omitted), which is consistent with the HESS measurement. The observed energy spectrum is dN/dE = (9.0 + or - 1.6) x 10 super(-13)(E/5 TeV) super(-2.32+ or -0.23) photons cm super(-2) s super(-1) TeV super(-1), in the energy range 0.9-50 TeV. The integral gamma -ray flux above 1 TeV is 1.3 + or - 0.4 Crab, which is 3.2 + or - 1.0 times the flux derived by HESS. The differences in the flux determination between HESS and ARGO-YBJ and possible counterparts at other wavelengths are discussed.