Nepal's foreign affairs ministry, in a release, also strongly condemned the terrorist attack and expressed its condolences.
"We deplore the attack on #Amarnath pilgrims & condemn all acts of terrorism. Deepest condolences to the families & all those affected," the US ambassador's official Twitter handle posted.
The US has appointed Kenneth I Juster as its ambassador to India, but he is yet to take office.
In a message, German Ambassador Martin Ney said, "On behalf of the Government of Germany, I strongly condemn yesterday's terrorist attack in Jammu & Kashmir. Seven Amarnath yatris lost their lives and more than a dozen were wounded."
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"Germany resolutely stands by India in the fight against terrorism and extremism," Ney said.
"As the G20 leaders just reaffirmed in Hamburg, we are resolved to tackle terrorism as a common challenge to the global community," he noted.
Seven Amarnath pilgrims were killed and 19 injured in the terrorist attack in south Kashmir's Anantnag district last night.
The bus, bearing a Gujarat registration number, was on its way from Baltal to Jammu when the attack took place.
The bus was not part of the Amarnath yatra convoy and was plying after the 7 pm deadline imposed by security officials on the movement of such vehicles.