After finding a dead person in a bush in southern Hesse, the husband is considered an urgent suspect.
An arrest warrant for manslaughter was issued against the 26-year-old on Sunday, a police spokesman said.
The 27-year-old woman was found dead in a bush in Biebesheim near Darmstadt on Saturday.
The officers noticed the dead man's husband because inconsistencies emerged during his interrogation.
He was brought before the judge on Sunday morning and then taken to a correctional facility.
The 26-year-old is now in custody there.
The background to the act is currently unclear.
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him / dpa