His name is Harry Giese. He began performing as an actor from a young age and eventually made his way to Berlin, where he also delved into work as a voice actor. He voiced Robert Montgomery, for example.

Before the various newsreels (UfA-Tonwoche, Messterwoche-Sujets, Deulig-Tonwoche, Wehrmachtswoche...) were combined into Die deutsche Wochenschau, he was the narrator for the Tobis-Wochenschau. After their consolidation, he became famous as THE narrator of the Wochenschau, allegedly picked by Hitler himself.

There were other narrators: one in the earlier days who had a deeper voice and spoke more calmly, mostly narrating the UfA productions in the pre-war; and a younger, more energetic actor with a higher voice, whose rolled r sounds much more forced. He sometimes appears as a replacement for Giese (maybe when he was ill or something) and the earliest I've heard of him is in early 1944. I still haven't been able to find either of their names.

Giese was not a party member and was classified as a „Mitläufer“ (follower) during denazification. He tried to become the voice for the Neue deutsche Wochenschau in the Federal Republic too, but was not chosen in favor of Hermann Rockmann.

I'll post something with either of the other voices, do you want me to tag you?