A Sunday newspaper said that the Call the Midwife star, 41, was being lined up by the BBC to host a pilot relaunch of the family gameshow, which was watched by millions in its 1970s heyday.
It featured two-person family teams competing against each other in mad-cap challenges - plus the "conveyor belt" memory game with its ubiquitous cuddly toy.
A BBC spokesman said there were no plans for a series at the moment.
He said: "It's in the early ideas stage at the moment and nothing is confirmed."
The Generation Game originally ran between 1971 and 1981, and 1990 to 2002.
Hart, who came to prominence with her comedy series Miranda,would be the latest in a line of hosts that includes Sir Bruce, Larry Grayson and Jim Davidson.