The Taleban said there had been a "large number of casualties" around the country, but it was impossible to verify the claim.
A Taleban official in the eastern city of Jalalabad was quoted as saying that more than 100 people had been killed, but that report was also unconfirmed.
Witnesses described the air raids on Kabul as the most intense military bombardment since the campaign started on Sunday.
Ground forces
Loud explosions shook the city as jets screamed overhead and anti-aircraft fire blazed from Taleban guns.
American warplanes are reported to have begun using 5,000lb "bunker busting" bombs, which could mark the start of the next phase in the allies' campaign.
This new stage could also involve the use of ground troops and special forces, the BBC Washington correspondent says.
Pakistani officials said American personnel were on the ground in Pakistan.
But they stressed that they were not combat forces and would not use Pakistani territory to launch attacks inside Afghanistan.
Pakistan is allowing the Americans to use two air bases, but only for logistics and support operations.
'Mosque hit'
A Taleban official said a mosque had been destroyed in the eastern city of Jalalabad.
Taleban Education Minister Amir Khan Mutaqqi said he did not know if people had been killed inside the mosque.
But he was quoted as saying that there had been many casualties in different parts of Afghanistan.
Among them, he said, were 10 members of the same family, killed when a missile hit their house in Kabul.
'Populated areas bombed'
Heavy air strikes also hit the southern city of Kandahar, where the Taleban headquarters is located.
A local Taleban commander said 15 people were killed.
Refugees from the area arriving at the Pakistani border were also quoted as saying civilians had been killed and some bombs had hit populated areas.
Several Taleban leaders were killed on the first night of US and British attacks, a senior US official was quoted as saying.
Two men related to Taleban leader Mullah Mohammad Omar were among those killed, the official said.
The anti-Taleban Northern Alliance claimed that it had advanced in the central province of Ghor, but the Taleban said they had repelled a rebel assault there. Neither claim could be verified.
US warplanes dropped at least one 5,000lb bomb - known as a GBU-28 - designed to destroy reinforced or underground command centres.
In other developments:
A huge blaze was reported near Kabul airport on Wednesday night and a military academy east of the capital was reportedly hit.
Taleban gunners opened fire from at least three positions near the city centre.
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"This is the worst night that we have had so far ... I cannot tell you how frightened people are," one Kabul resident said.
US officials said that the military may use low-flying helicopters to hunt followers of Bin Laden, although they said this was not imminent.
This would be potentially risky - the Taleban are believed to still have shoulder-fired anti-aircraft missiles which they used to down Soviet helicopters in the past.
But officials in Washington say their forces control the skies, and daylight strikes began on Tuesday.
Speculation that the US will widen its campaign on terrorism to other nations, however, has been quashed by US Secretary of State Colin Powell, who said America had no such immediate plans.
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Guide to the military hardware being used |
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