It added: “This is also in the interest of our team and visitor safety in these extraordinary circumstances.
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“If you do have tickets for the next few days please bear with us and we will be in touch to rearrange your visit.”
The attraction is due to open as normal again from Wednesday, July 20.
Doncaster is covered by the red warning for extreme heat on Monday and Tuesday, with the Met Office forecasting the temperature there will peak at 38C on Tuesday.
The Met Office says the ‘exceptional’ hot spell could lead to ‘serious illness or danger to life’.
Yorkshire Wildlife Park attracts around 750,000 visitors a year.