Stormarksgothi,

Do Norse gods have children?

Some of them do, yes.

Some of their children are gods, some are heroes.

Baldur is the son of Odin and Frigga.

Forseti is the son of Baldur and Nanna.

Thor is the son of Odin.

Thor's children are Thrud, Modi and Magni.

Njord and Nerthus are the parents of Freyr and Freya.

Just for a few examples.