In a method and MRI apparatus for the minimization of streak artifacts in modular k-space scanning in magnetic resonance imaging, an odd integer k-space scanning module number N.sub..phi.=2n+1 is defined that defines the number of incrementally rotated repeated modules of the k-space scanning process, a slice selection gradient selects any slice in the range of the object to be examined, and data for all N.sub..phi. angle-oriented k-space scanning modules in the selected slice acquired such that each k-space scanning module has an azmuthal distance of.DELTA..times..times..phi..times..degree..times..times..phi. ##EQU00001## from both adjacent projections, with the direction of the scanning of the adjacent k-space scanning modules alternating.