Responding to calls for a warning from Culture Secretary Oliver Dowden, the streaming giant said the series has always been billed as a drama.
"As a result we have no plans, and see no need, to add a disclaimer," it said.
Mr Dowden earlier said younger viewers "may mistake fiction for fact" when watching the fourth series, which shows the breakdown of the marriage between the Prince and Princess of Wales.
The Crown's creator Peter Morgan has called the show "an act of creative imagination" with a "constant push-pull" between research and drama.