On a site, which we're choosing not to name, 18 pictures were posted under the title "Daisy Lowe Leaked Nude".
They appear to show the pair posing in the mirror of a hotel bathroom.
Smith, who quit his role of the timelord last year, dated the former model for several years before they split in 2013.
This would suggest the photos are more than a year old.
It's thought he's the second male celebrity to be targeted in a recent wave of photo hacks.
Nude pictures of reality TV star Nick Hogan, the son of US wrestler Hulk Hogan, were also reportedly leaked this week, while on Monday it was claimed a fourth batch of naked celebrity photos were released.
It's not clear where the latest pictures came from.
Previous victims are thought to include Rihanna, Kate Upton, Selena Gomez and Kim Kardashian.
This week, Jennifer Lawrence said the people who leaked pictures of her and more than 100 others online were guilty of a "sex crime".
Dozens of private pictures of the Hunger Games actress were released in the first leak in September.
Speaking to Vanity Fair, the 24-year-old said: "It is not a scandal. It is a sex crime. It is a sexual violation. It's disgusting".
Google removed "tens of thousands" of nude pictures last week which had been stolen from celebrities, after Hollywood lawyer Marty Singer threatened to sue the tech company for "violating privacy".
It's thought photos were initially taken from stars' iCloud accounts , before they were shared on websites Reddit and 4chan.
Apple has denied any form of security breach, suggesting weak user names, passwords and security
questions were to blame.
"Fappening" has become the term for when a hacker accesses nude photos of celebrities and leaks them in exchange for Bitcoins.
The term is a mixture of two words, "the happening", as in what's going on, and "fapping", a slang for a sexual act.
Source: BBC
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