The response of the magnetic moment of a magnetically uniaxial nanoparticle and a planar array of such nanoparticles to a short Gaussian magnetic field pulse is studied in the presence and absence of its modulation. The periodic dependence of the response duration and the final orientation of magnetic moments on the pulse duration and its peak value are revealed and analyzed. The effect of the weak bias magnetic field and the pulse field deviation from the transverse orientation on remagnetization processes is studied. It was shown that the effect of the dipole–dipole interaction leads to modulation of the response to the pulse exposure.