The homoepitaxial growth of Fe(110) on atomically smooth Fe(110) surfaces was analyzed using high angular resolution, spot profile low energy electron diffraction (SPA-LEED). Spot profiles were observed near normal incidence for films consisting of up to 10 atomic layers, grown at temperatures between 200 and 500 K. The profiles show a clear separation of a central spike of instrumental width from a background consisting of two broad shoulders, arranged symmetrically with respect to the central spike along the [110BAR] direction. The distance between the shoulders varies linearly with the scattering vector, being zero for in-phase and maximum for out-of-phase conditions. The surface structure therefore consists of a quasi-periodic sequence of up and down staircases along [110BAR], with ridges along [001]. It forms by a facetting process governed by free diffusion on atomic planes in combination with an energy barrier which prevents hopping between the planes (layer restricted diffusion, LRD). The one-dimensional facet structure results from the lowered symmetry of the surface. Apparently, an anisotropic sticking probability of atoms on atomic steps, being high at steps with edges along [110BAR] directions and low at steps with edges along [001], results in nucleation by stripes elongated along [001]. The distance of these stripe nuclei defines the period of the ridge structure which therefore is roughly independent of film thickness. Apparently, the growth virtually consists in a step flow of atoms towards the ridges, with subsequent nucleation of new planes on top of them, and a roughness which increases with the square root of the thickness. The period increases with increasing preparation temperatures. Annealing of the facets at 600 K restores the initial flat surface, thus confirming the kinetic nature of the facetting process.