Former News International chief executive Rebekah Brooks, 44, from Churchill, Oxfordshire, also appeared at the Old Bailey charged with conspiracy to commit misconduct in a public office.
The matter was adjourned until next month.
Sun chief reporter John Kay, 69, from north-west London, entered a not guilty plea to conspiracy to commit misconduct in public office.
The cases have been brought as part of Operation Elveden, Scotland Yard's investigation into alleged inappropriate payments and information leaks.
In a separate case, a former police officer pleaded guilty to misconduct in public office.
And in another matter, a public official admitted misconduct in public office.
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The Democratic presidential candidate may also have shown his cards on his choice of running mate.
The US president also shared a post on Twitter accusing Dr Anthony Fauci of misleading the public over hydroxychloroquine.
Fears over an impending second wave of coronavirus dominates Wednesday’s front pages.