The concept of a stare-mode astrometric space mission is introduced. The traditionally accepted mode of operation for a mapping astrometric space mission is that of a continuously scanning satellite, like the successful Hipparcos and planned Gaia missions. With the advent of astrometry missions mapping out stars to 20th magnitude, the stare-mode becomes competitive. A stare-mode of operation has several advantages over a scanning missions if absolute parallax and throughput issues can be successfully addressed. Requirements for a stare-mode operation are outlined. The mission precision for a stare-mode astrometric mission is derived as a function of instrumental parameters with examples given. The stare-mode concept has been accepted as baseline for the NASA roadmap study of the Origins Billions Star Survey (OBSS) mission and the Milli-arcsecond Pathfinder Survey (MAPS) micro-satellite proposed project.