A survey of Galactic gamma-ray sources at a median energy of~ 20 TeV has been performed using the Milagro Gamma-Ray Observatory. Eight candidate sources of TeV emission are detected with pretrial significances> 4.5 σ in the region of Galactic longitude l∊[30, 220] and latitude b∊[-10, 10]. Four of these sources, including the Crab Nebula and the recently published MGRO J2019+ 37, are observed with significances> 4 σ after accounting for the trials. All four of these sources are also coincident with EGRET sources. Two of the lower significance sources are coincident with EGRET sources, and one of these sources is Geminga. The other two candidates are in the Cygnus region of the Galaxy. Several of the sources appear to be spatially extended. The fluxes of the sources at 20 TeV range from~ 25% of the Crab flux to nearly as bright as the Crab.