The High Altitude Water Cherenkov (HAWC) Gamma-Ray Observatory surveys the very high energy sky in the $\sim300$ to 100 TeV energy range and has detected two high-synchrotron-peaked BL Lacertae objects, Markarian 421 and Markarian 501 in a period of time of 837 days between June 2015 and December 2017. In this work we present the detailed time-average spectral analysis. Using an extragalactic background light model, we address the difference in the intrinsic spectral properties between the two blazars above 1 TeV, preliminary results show that the intrinsic spectrum of Mrk 421 is better described by a power-law with an exponential energy cut-off function with photon index $\alpha_{421}=2.22\pm0.10$ and energy cut-off $Ec_{421}=5.24\pm1.02$ TeV, and for Mrk 501 the intrinsic spectrum is well described by a power law with spectral index $\alpha_{501}=2.40\pm0.06$, without requiring an energy cut-off.