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Frederick Magnus I, Count of Solms-Laubach (1521 – 13 January 1561 in Laubach) was regent of Solms-Laubach from 1522 to 1548, and the ruling Count of Solms-Laubach from 1548 until his death.

After the early death of his father Otto (1496–1522), Frederick Magnus I took up the government in his father's part of the County of Solms. He chose Laubach Castle as his permanent residence and gradually converted the castle into a palace. After the third division of Solms in 1548, Solms-Laubach became a separate principality, with Frederick Magnus I as its first ruler.

In 1540, Laubach became a fortress and a militia was established. This militia has been preserved to this day as the Laubach festival committee. Frederick Magnus I was a friend of the Reformer Philipp Melanchthon. He introduced the Reformation in Solms-Laubach in 1544. He abolished the inheritance tax and issued a simplified court order, which developed into the Civil Code of Solms. In 1555, he founded a Latin School, with teachers from Wittenberg. He also founded the library of Laubach, which now contains over 90000titles from the 16th century to the present. It is a listed monument and was registered under Heritage Protection Act in 1955.

Frederick Magnus I died in 1561 and was succeeded by his son John George I.