Speaking during a televised speech in Istanbul, Erdogan said the imprisoned former president - who was overthrown in a coup in 2013 - had been deliberately allowed to die by Egyptian authorities.
On Wednesday, he said he would follow up on the process related to Morsi's death.
At Istanbul's Fatih mosque where thousands joined in prayers, Erdogan called Morsi a "martyr" and blamed Egypt's "tyrants" for his death adding that he didn't believe that Morsi died of natural causes.
His former party, the now-banned Muslim Brotherhood, and Turkish President Recep Tayyip Erdogan - a close ally of Morsi - are among those who have blamed the Egyptian leadership for his death.
A leading member of the Muslim Brotherhood group, Morsi won Egypt's first free presidential election in 2012, a year after an uprising that toppled longtime leader Hosni Mubarak.
Egypt's first official comments on Morsi's death came amid growing criticism about prison conditions in the Middle East nation.
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"We will do whatever is needed for Egypt to be tried in worldwide courts". "He also called on the Islamic Cooperation Organization to "take the necessary action" over Morsi's death".
Late on Monday, Egypt's chief prosecutor said Morsi's body would be examined to determine the cause of his death.
Morsi was buried in a small family ceremony early on Tuesday a day after he suffered a fatal heart attack in a Cairo court, his sons said.
In this 2015 photo, Egypt's deposed president Mohamed Mursi greets his lawyers and people from behind bars at a court hearing.
He said he condemned in the "strongest possible terms" the request from the spokesperson for the UN High Commissioner for Human Rights, Rupert Colville, made on Tuesday.
Human Rights Watch also criticized Egyptian authorities for failing to provide adequate medical care for Morsi as "horrific".