The mid-morning attack wounded nine people, including three of the soldiers, who were building a bridge about 10 kilometers (5 miles) west of Kabul , said Zemeri Bashary, the Interior Ministry spokesman.
Three school children were killed in the blast, said Abdul Razaq, the chief government official in the Paghman area, where the bombing occurred.
Razaq said only the legs of the suicide bomber were left behind after the bombing.
Afghanistan has seen more than 130 suicide attacks this year - a record number. More than 5,800 people have died this year in insurgency-related violence, also a record, according to figures from Afghan and Western officials.
Malaysia needs Russia's assistance in maintaining and repairing Su-30MKM fighter jets
Japanese Prime Minister Shinzo Abe said that US army bases will not appear on the southern Kuril Islands in the even Russia delivers them to Japan
Posters for the play "Adam and Eve. Life after Paradise" with pictures of dancers Arsen Aghamalyan and Oksana Vasilyeva were banned in the city of Tver, Central Russia