SITE said the 62-minute video titled "The Dawn of Imminent Victory" also includes a speech by al-Qaeda's new chief Ayman al-Zawahiri who applauds the "Arab Spring" revolutions.
The US intelligence monitoring service said the footage of bin Laden appears to be the same material found in the US raid on his Pakistan hideout in May, which Washington released but without its soundtrack.
Bin Laden, who was killed by US Navy SEALs in the covert operation, warned Americans against "falling as slaves" to the control of major corporations and "Jewish money capital".
He recommended that Americans read the book "Obama's War" by Bob Woodward which details wrangles over US military decision-making, and told them that US President Barack Obama's campaign slogan "Yes, we can" is untrue.
Zawahiri, who is now Washington's most wanted man, makes a long speech about events in the past year including the revolutions in the Arab world and the death of bin Laden whom he replaced after a long period as Al-Qaeda number-two.
"Zawahiri... declared that contrary to what is reported in the media, Al-Qaeda supports the revolutions and hopes it will establish true Islam and sharia-based governance," SITE said.
He lauded his predecessor bin Laden as a fighter who had taken on the Russians in Afghanistan as well as the Americans, and who he said had sacrificed everything for his campaign.
"America's arrogant nature will push it to deny the facts that it is facing a rising ummah and that it may be a cause of defeat and its fall, with permission from Allah."