The Ryai pollster said polls were conducted at 500 stations in 64 precincts out of the country's total of 5,359 polling stations in 125 electoral districts.
With around 4.8 million people registered to vote, the turnout was reported at 68.5%.
Voting passed off quietly despite a boycott by the main opposition parties.
The six main opposition parties boycotted the polls citing a clampdown on dissent, media restrictions, and electoral fraud. The six candidates running against Aliyev are not considered serious political rivals to the incumbent leader.
Unlike the 2003 presidential and 2005 parliamentary elections, which saw violent clashes with police after the opposition refused to accept the results and staged mass protests, Wednesday's vote is expected to pass calmly.
The Organization for Security and Cooperation in Europe (OSCE) has dispatched 480 observers to the polls, and the Parliamentary Assembly of the Council of Europe (PACE) has sent 30 monitors.
Opposition politician Gulamhusein Alibeyli, who is running as an independent candidate in the presidential race, told journalists that no violations had been observed during the voting. "There are all the conditions for the Azerbaijani people to vote freely in a democratic environment and choose one of the seven presidential candidates," Alibeyli said.
Aliyev took over as president when his father, Heydar, stepped down in 2003, subsequently winning 76.84% of the vote in that year's presidential election.
