"Three people were killed and some others were injured", Chabahar's acting governor Rahmdel Bameri told state television.
Ground Force Brigadier General Mohammad Pakpour told semi-official Tasmin News Agency such a "blind terrorist attack" would achieve no results.
"India strongly condemns today's despicable terrorist attack in Chabahar, Iran". He did not elaborate, the Reuters news agency reported. Middle East Eye could not verify the authenticity of the videos.
Chabahar lies in Sistan-Balochistan province which has always been a flashpoint.
In June, Iran's Revolutionary Guards said they had killed the group's suspected leader, Molavi Jalil Qanbar-Zehi, in a mountainous area of Sistan and Baluchestan.
Although rare, Iran has been targeted in recent years by militant attacks.
Sistan-Baluchistan province, where the bombing hit, has always been a flashpoint, with Pakistan-based Baluchi separatists and jihadists carrying out cross-border attacks.
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"Terrorists attacked the police post in Chabahar with an explosives-laden vehicle", he said.
Last year, in the first deadly assault claimed by Islamic State in Tehran, 18 people were killed at the parliament and mausoleum of Ayatollah Ruhollah Khomeini, founder of the Islamic Republic.
Iran says armed groups have safe havens in Pakistan and has warned it will hit their bases there if Islamabad does not confront them.
"Foreign-backed terrorists kill & wound innocents in Chabahar", Zarif said on Twitter on December 6. "As we've made clear in the past, such crimes won't go unpunished".
Meanwhile, Iranian Foreign Minister Mohammad Javad Zarif claimed that those behind the attack were backed by foreign countries and would be brought to justice. "There can be no justification for any act of terror", the ministry said.
Chabahar Port, which is being developed with funding from India, has been described as India's "golden gateway" that will help boost trade links to land-locked Afghanistan and central Asia, while bypassing its regional rival, Pakistan.
He was apparently referring to a highly successful operation by Iranian intelligence services, which led to the capture in 2010 of Abdolmalek Rigi, the ringleader of the so-called Jundullah terror group.