Yes, but depending on the DirecTV box capabilities, it might shrink the screen to fake the HD resolution the box is putting out due to the projector only being 800*600 (Your DirecTV box is most likely 1920*1080 by comparison - your shrinking the picture with this projector) Also, you'll only be able to have audio from projector speaker unless you buy an additional HDMI audio splitter to run the audio to your surround sound or other source - there is no audio out on this specific model.