Israel and Iran are arch enemies and the Jewish state has always opposed the nuclear agreement, which it says could enable the Islamic republic to develop nuclear arms.
Raisi won nearly 62 percent of the vote in Friday's election on turnout of 48.8 percent, after his most prominent rivals were either disqualified or pulled out of the race.
Raisi won just shy of 62 percent of the vote in Friday's election, according to official figures, on a turnout of 48.8 percent, a record low for a presidential poll in the Islamic republic.
Raisi's election "makes clear Iran's true malign intentions, and should prompt grave concern among the international community", foreign ministry spokesman Lior Haiat wrote on Twitter.
The circumstances surrounding the fate of the victims and the whereabouts of their bodies are, to this day, systematically concealed by the Iranian authorities, amounting to ongoing crimes against humanity.
"Stating my belief that cooperation between our two countries will strengthen during your presidency, I am ready to work together with you," Erdogan said.
Amnesty said Raisi was a member of the "Death Commission" that forcibly disappeared and extrajudicially executed in secret thousands of opposition prisoners in 1988.
"Raisi's main challenge will be the economy. Eruption of protests will be inevitable if he fails to heal the nation's economic pain," said a government official.
The vote Friday will choose a successor to Iran's moderate President Hassan Rouhani, who cannot run again now after serving two consecutive four-year terms, and who leaves office in August.