Chabahar city governor Rahmdel Bameri said earlier that four people were killed and many more wounded when the bomber blew up a auto, but later revised the death toll to two.
Press TV quoted Rahmdel Bamari, governor of Sistan and Balochestan province, as saying that an "explosive-laden vehicle" targeted the police post on Thursday.
The province's deputy governor in charge of security, Mohammad Hadi Marashi, said multiple assailants took part in Thursday's attack.
"India strongly condemns today's despicable terrorist attack in Chabahar, Iran". He did not elaborate, the Reuters news agency reported. Head of Chabahar healthcare center also said a pregnant woman and a 16-year-old teenager are among the injured. Middle East Eye could not verify the authenticity of the videos.
The SITE Intelligence Group reported that Sunni militant group Ansar al-Furqan had claimed responsibility for the attack.
Suicide attacks are rare in Iran.
Chahbahar is located in the Sistan and Balochistan province of Iran close to the Pakistani border.
A statement by the Foreign Ministry offered condolences to Iran and the victims' families and wished the injured a speedy recovery.
There was no immediate claim of responsibility for the attack. Iran's supreme leader, Ayatollah Ali Khamenei, blamed Saudi Arabia and the United Arab Emirates for the attack, allegations denied by both countries. No militant group immediately said it was behind the bombing.
"Foreign-backed terrorists kill & wound innocents in Chabahar", Zarif said on Twitter on December 6. "As we´ve made it clear in the past, such crimes won´t go unpunished", Zarif tweeted.
"In 2010, our security services intercepted & captures extremists en route from UAE". "Mark my words: Iran WILL bring terrorists & their masters to justice".
Chabahar, on Iran's south-eastern coast near the border with Pakistan, is home to a recently built port and is an "economic free zone".
It has a deep-water port on the Gulf of Oman which, with Indian assistance, Iran has been developing as a major energy and freight hub between Central Asia and India, bypassing Pakistan.