Aims. Interstellar polarization of starlight at high galactic latitudes gives information on the direction of the local Galactic magnetic field and the distribution of cosmic dust in wide “windows” perpendicular to the Galactic plane. Polarization data allow us to construct for the first time high-latitude polarization maps with resolution and sky coverage high enough to examine in detail the distribution of the interstellar polarization and the direction of the Galactic magnetic field around Galactic poles. Methods. We measured the polarization for more than 2400 new stars at distances of up to 600 pc and within 60° and 30° from the north and south Galactic poles. Here we describe the measurements and properties of the resulting to...