Footage captured Simon King's camera showed a man climbing over a fence and making off across a garden at a property in Herne Hill, south London.
Nigel Batton, 43, was convicted of one count of burglary and one count of attempted burglary at Woolwich Crown Court.
Batton, of Marischal Road, Lewisham, was sentenced on Monday.
The burglary took place at a property in Hollingbourne Road in Herne Hill.
The footage, which showed Batton in a nearby property's garden, was captured on Mr King's camera, which streams live on his website, at about 03:45 BST on 12 January 2014.
After it was released by police, a number of people contacted officers and identified Batton.
Police said a scarf left at the scene of the crime contained Batton's DNA and a cardigan worn by the burglar in the video was also found at Batton's home address,
Det Con Marie Hamilton, from Southwark police, said: "The images from the fox family camera were brilliant and together with the forensics we have been able to ensure that Batton has been brought to justice."
Mr King has featured in various BBC programmes including Springwatch, Big Cat Diary and Planet Earth.

Rockstar's controversial game - where players commit crime in the fictional city of Los Santos - was presented with the Game of the Year gong at a ceremony in central London.
Sony's The Last of Us also scooped two awards.
Ken Levine - the man behind Bioshock and System Shock 2 - was honoured with a lifetime achievement award.
The Golden Joysticks are the largest publicly-voted video game awards in the world, with this year more than 10 million people casting a vote.
The Lifetime Achievement is a new addition to the ceremony.
Mr Levine has been a high profile figure in the industry ever since he worked with designer Doug Church, on the first-person shooter, Thief: The Dark Project, credited with being one of the first titles to introduce the concept of stealth into video games.
"The great thing about the still-maturing nature of video games is you get to be inspired by the work of novices and veterans alike," he said.
"We're all figuring out day by day exactly what the medium is capable of."
Now in its 31st year, the awards were first given out back in 1983, with the first Game of the Year award going to Jet Pac on the ZX Spectrum.
Andy Robinson, editor of Computer and Videogames, said that three decades on, the awards still "represent the voice of gamers worldwide".
"We've revamped the categories to reflect the diversity of modern gaming and also added the inaugural Lifetime Achievement award, which has made this year's ceremony the most thrilling for us yet," he said.
The Golden Joysticks are not the only big awards for the video games industry.
The British Academy of Film and Television Arts hands out its Video Game Baftas in the spring each year, although the majority of their awards are selected by a panel of experts, rather than a public vote.
Grand Theft Auto 5, released last month, quickly became the fastest selling entertainment product ever, taking just three days to generate $1bn (Â£620m) in revenue.
A burglar who was filmed by a BBC wildlife presenter's "fox camera" has been jailed for four-and-a-half years.
[NEXT_CONCEPT]
The adult-themed crime game, Grand Theft Auto 5, has won the top prize at the Golden Joystick awards.