The fire at Chessington World of Adventures is in the Creaky Cafe which is next to several animal enclosures.
Surrey Police say "the large fire" at Chessington will cause road closures for a "considerable amount of time".
Officers are asking drivers to avoid the A243 as well as the Chessington area.
A fire has broken out at a cafe in a theme park in Chessington. Eight fire engines are at the scene and crews are tackling the blaze.
A man who was arrested for lighting a small fire at the Palace of Westminster in July has been given a caution.
Police say officers had investigated the fire after it broke out on July 23.
A 32-year-old man was arrested on October 23 and was interviewed at a south London police station and was later bailed.
The man returned on bail today and accepted a caution for criminal damage.
Fire crews are battling a blaze at an industrial estate in Edmonton.
100 firefighters have been trying to control the flames on Advent Way in Upper Edmonton since 3am. 15 fire engines from at least eight boroughs are at the scene.
Station Manager John Tovey said: “The fire is affecting a range of single storey industrial units and crews are working really hard to get it under control.
“Fortunately the buildings on fire are located on an industrial estate and are away from any residential properties “
Twelve fire engines are attending a fire at a scrap metal yard on Chequers Lane in Dagenham.
Around 1500 tonnes of scrap metal in the open air is alight. The Brigade was called at 1519.The cause of the fire is not known at this stage
A strike by London firefighters planned for tonight has been called off.
Members of the Fire Brigades Union had been due to walk out for five hours in a row over pensions.
Strike action by firefighters has been called off after progress was made in a dispute over pensions.
The walkout was due to last from 6.30 to 11.30pm tomorrow and reduce the number of fire engines operating in London from 169 to just 27.
The Fire Brigades Union said it had been presented with a similar deal to one made by the Scottish Government, covering the retirement of firemen and women aged between 55 and 60.
The London Fire Brigade is asking people to take extra care in their homes ahead of a second planned national strike tomorrow.
The walkout, which will take place between 6.30pm and 11.30pm tomorrow, will see the number of fire engines in London reduced from 169 to just 27.
Plans are in place to provide a contingency level of emergency cover across the capital during the strike, but officials have warned less urgent incidents may not be attended.
The strike is part of an ongoing dispute over pensions.