Murphy joined Twitter yesterday and promised to give fans "exclusive details" on his shows Glee, American Horror Story and The New Normal.
He later posted the picture of Michele and Hudson, who has signed up for a multi-episode arc as Rachel's dance teacher in Glee's upcoming fourth season.
Murphy added the caption: "GLEE exclusive: @msleamichele and Kate Hudson on the NYADA set. Kate had chandelier approval ;)"
Michele has previously teased that Rachel and Hudson's character will have a "challenging dynamic" in the show.
Glee will return for its season four premiere - which is titled 'The New Rachel' - on September 13 on Fox.