The high-frequency-peaked BL-Lacertae object ( catalog 1ES 0806+524 ) , at redshift z=0.138 , was observed in the very-high-energy ( VHE ) gamma-ray regime by VERITAS between November 2006 and April 2008 . These data encompass the two- , and three-telescope commissioning phases , as well as observations with the full four-telescope array . ( catalog 1ES 0806+524 ) is detected with a statistical significance of 6.3 standard deviations from 245 excess events . Little or no measurable variability on monthly time scales is found . The photon spectrum for the period November 2007 to April 2008 can be characterized by a power law with photon index 3.6 \pm 1.0 _ { \mathrm { stat } } \pm 0.3 _ { \mathrm { sys } } between \sim 300 GeV and \sim 700 GeV . The integral flux above 300 GeV is ( 2.2 \pm 0.5 _ { \mathrm { stat } } \pm 0.4 _ { \mathrm { sys } } ) \times 10 ^ { -12 } \ > \mathrm { cm } % ^ { -2 } \ > \mathrm { s } ^ { -1 } which corresponds to 1.8 % of the Crab Nebula flux . Non-contemporaneous multiwavelength observations are combined with the VHE data to produce a broadband spectral energy distribution that can be reasonably described using a synchrotron-self-Compton model .