A statement on the Chessington World of Adventures' website said:
"Due to unforeseen circumstances, Chessington will be closed today.
"If you had tickets booked for today they will be valid for another day in the future."
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Handyman Paul Thrower died after two 18-year-olds hacked at him with a 4ft long axe and stabbed him 10 times at a block of flats.
The 34-year-old victim was left with a huge gash across her nose and face. Police need to find a man seen on CCTV.
The girl was travelling on a train from London Liverpool Street to Romford in Essex after going to see the poppies at the Tower Of London.