Leon Angel, who is based in London, was found guilty of two breaches of the regulations and fined 7,000 Swiss francs (£4,800).
Hodgson negotiated his England contract with the Football Association but Angel has carried out accountancy work with him, and there is a picture of the two men together on the firm's website.
The violations related to Heurelho Gomes' move from PSV Eindhoven to Tottenham in July 2008 and was referred by the FA to FIFA in June 2011.
FIFA said in a statement: "FIFA also informed Mr Angel that a further breach of the players' agents regulations will result in more severe sanctions to be determined by the FIFA Disciplinary Committee, which can lead to a suspension or even a withdrawal of the players' agent licence."
The first regulation breached refers to having a "relevant written representation contract with that player or club", and the second requires that "every players' agent shall ensure that his name, signature and the name of his client appear in any contracts resulting from transactions in which he is involved".