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 November 2007 to July 2012 . 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 \sigma = ( 0.40 ^ { +0.32 } _ { -0.22 } ) ^ { \circ } , consistent with the HESS measurement . The observed energy spectrum is dN / dE = ( 9.0 \pm 1.6 ) \times 10 ^ { -13 } ( E / 5 TeV ) ^ { -2.32 \pm 0.23 } photons cm ^ { -2 } s ^ { -1 } TeV ^ { -1 } , in the energy range 0.9-50 TeV . The integral \gamma -ray flux above 1 TeV is 1.3 \pm 0.4 Crab units , which is 3.2 \pm 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 .