The man's body was found 100 feet from the embassy's wall, according to Steve Goldstein, US undersecretary of state for public diplomacy and public affairs.
"The US embassy in Podgorica advises US citizens there is an active security situation at the US embassy in Podgorica", it said on its website.
Police in Montenegro say they are "working intensely" to identify an assailant who threw an explosive device into the USA embassy compound in the capital, Podgorica, before killing himself.
An image apparently posted to the dead bomber's Facebook page past year shows an award apparently signed by former Serbian strongman Slobodan Milosevic.
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Police added they were investigating his motives and whether he had acted alone.
A family friend has described the man who allegedly hurled a bomb into the us embassy compound in Montenegro's capital Podgorica and then killed himself as 'a good patriot'.
Local media on Thursday named the alleged attacker as Dalibor Jaukovic from Podgorica, a war veteran who fought with Yugoslav Army forces in Kosovo in 1999, citing unnamed police sources and Jaukovic's family. "Immediately before, the person threw an explosive device from the intersection near the Sport Center into the US Embassy compound", read a tweet on the government's official Twitter account.
Last year, it became the 29th country to join North Atlantic Treaty Organisation.
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One grenade was thrown into the embassy courtyard, while a second one killed the unidentified male, according to the government of the Baltic country.
Police said Jaukovic was a Montenegrin citizen born in neighboring Serbia in 1976.
Police sealed off the area around the embassy after the explosion.
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