Marie Scott, 57, was last seen at around 12pm on 18 December on Sandileigh Avenue, Hale.
She is described as 5ft 4ins tall with mid-length blonde hair.
Marie was last seen wearing black leggings with a black bomber jacket.
The CCTV shows her at Altrincham train station on the day she was last seen18 December 2017.
Marie boarded the 12.30pm Bury tram before getting off at Deansgate in the city centre at 12.54pm.
Detective Inspector Carl Gilbert, of GMP’s Trafford borough, said: “Marie left home with no phone or credit cards so there is unfortunately no way for us to track her whereabouts apart from trawling through CCTV and relying on sightings.
“Please do what you can to help us reunite Marie with her family who are incredibly worried about her and just want her home for Christmas.”
Anyone with information about Marie’s whereabouts is asked to contact police on 101 quoting MP/17/0111851. Reports can also be made anonymously through the independent charity Crimestoppers on 0800 555 111.