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.
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.
Around a dozen stops are planned over the next two months, in a sign that the former investment banker has an eye on regional elections on June 20 and 27, as well as his own personal political test next year.