In 774, Gundheim had its first documentary mention in a document from Lorsch Abbey.

The municipal election held on 7 June 2009 yielded the following results:[3] The municipality's arms might be described thus: Azure a talon Or barwise unguled gules, issuant from the top three plumes argent.

What appears on the escutcheon is a canting charge for the noble family that was enfeoffed with Gundheim in 1699.

It bore the name Greiffenclau, rather reminiscent of the German words greifen (“grasp” or “seize”) and Klaue (“claw”).

Well known Gundheim wineries in the Bergkloster winemaking appellation – Weingroßlage – in the Wonnegau are: