A German father killed himself and his three-month-old baby by driving head-on into another car after he killed his wife during an argument.

The 37-year-old man, whose identity has not been made public, killed his wife, 34, 'using sharp force' after a row in their home on Sunday evening, local media reports.

Police are yet to confirm if and what type of weapon was used in the crime.

After the incident, he is said to have left the apartment in Waldachtal and took their three-month-old baby with him.

He allegedly drove his car along County Road 4721 toward Pfalzgrafenweiler, where he swerved into oncoming traffic, colliding with a 29-year-old woman driving a Volkswagen.