A polarized atomic beam source was developed for the polarized internal storage-cell gas target at the magnet spectrometer ANKE of COSY-Julich. The intensities of the beams injected into the storage cell, measured with a compression tube, are $7.5cdot 10^{16}$ hydrogen atoms/s (two hyperfine states) and $3.9cdot 10^{16}$ deuterium atoms/s (three hyperfine states). For the hydrogen beam the achieved vector polarizations are $p_{rm z}approxpm0.92$. For the deuterium beam, the obtained combinations of vector and tensor ($p_{rm zz}$) polarizations are $p_{rm z}approxpm 0.90$ (with a constant $p_{rm zz}approx +0.86$), and $p_{rm zz}=+0.90$ or $p_{rm zz}=-1.71$ (both with vanishing $p_{rm z}$). The paper includes a detailed technical description of the apparatus and of the investigations performed during the development.
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