The former liberal Polish prime minister was summoned for July 5 to testify regarding "public officials who failed to comply with obligations" concerning crash victim autopsies, Ewa Bialik, a spokeswoman for national prosecutors, told the Polish news agency PAP.
Tusk already testified for eight hours in the Polish capital last month as a witness in an investigation of two former military counter-intelligence chiefs accused of overstepping their duties.
He was first summoned days after EU leaders gave him another term as president despite strong opposition from Poland.
Kaczynski's late twin brother and then president, Lech Kaczynski, died in the 2010 crash in Smolensk, Russia that also killed a number of senior Polish statesmen.
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Jaroslaw Kaczynski has long insisted that the 2010 crash was no accident and even accused Tusk, who was prime minister at the time, of "moral responsibility" for the death of his brother.
But the PiS launched a fresh probe and a commission of enquiry suggested last month that an explosion likely caused the aircraft to break up in the air.
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