Directed and written by acclaimed playwright Israel Horovitz, the upcoming film also stars, Kristin Scott Thomas, reported Digital Spy.
The story follows Kline's character Mathias, a New Yorker who inherits an apartment in France only to find out that 90-year-old Mathilde (Smith) is living in it with her daughter Chloe (Thomas).
Smith can also be seen in the upcoming fifth series of 'Downton Abbey', which will be returning later this year in the UK.
'My Old Lady' opens in US cinemas on September 10 and in the UK on November 21.