The pair will hold talks at lunchtime in Downing Street, ahead of the opening of negotiations next month, following a special summit of EU leaders in late April.
May formally served notice of the UK's decision to quit the EU last week, with the Article 50 letter delivered to Tusk by the UK's ambassador to Brussels, Sir Tim Barrow.
The Downing Street talks come after Tusk outlined the EU's draft negotiations priorities, which are still be finalised by member states.
So far, the EU is holding to a plan for "phased" negotiations, which would see talks on a new trading relationship occur after the divorce proceedings are finalised.
May has been pushing for these to take place simultaneously. Earlier this week she said that Britons would know the UK's "future relationship" with the EU by the end of the two year Article 50 talks.