Separately, 12 civilians onboard a minivan were killed when a roadside bomb struck their vehicle in the militant-infested southeastern province of Ghazni.
The civilian fatalities come as Taliban insurgents step up attacks on government and foreign targets after Washington announced a delay in US troop withdrawals from Afghanistan last month.
"In the morning today a foreign forces convoy came under a suicide attack near the airport in Jalalabad city," provincial police spokesman Hazrat Hussain Mashriqiwal told AFP.
Resolute Support, the new name for the NATO mission in Afghanistan, did not officially comment on the incident but in a brief Twitter posting denounced it as "yet another senseless attack by the Taliban".
Roadside bombs -- like the one in Ghazni -- have been a weapon of choice for the Taliban in their 13-year war against foreign and Afghan forces, though the militants seldom admit blame for attacks resulting in civilian casualties.
Today's bombings come a day after 18 people were killed when Taliban insurgents mounted a six-hour gun and grenade siege on a courthouse in the usually tranquil northern city of Mazar-i-Sharif.
The militants said they were behind the terrifying assault, which underscored Afghanistan's precarious security situation as US-led foreign troops pull back from the frontlines after a 13-year war against the Taliban.
In a statement today, President Ashraf Ghani "strongly condemned the group terrorist attack in which a number women and children were martyred and many others were wounded".
The number of civilians killed and wounded in Afghanistan jumped 22 percent in 2014, a recent UN report said, as NATO troops withdrew from combat.
The United Nations Assistance Mission in Afghanistan attributed the rise to an intensification in ground fighting, resulting in a total of 10,548 civilian casualties last year.
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