The Afghan troops started shelling in Kali Luqman and Kali Jahangir area of Chaman district of Balochistan province.
Security officials said that the purpose was to target two Pakistani check posts in the area. Pakistan forces retaliated to the fire.
One person was killed and 17 injured when a mortar fired by Afghan hit a house in Kali Luqman village, according to a security official.
It was not known immediately why the firing started. Some reports suggested that intermittent firing was still going on.
It is second time this year that the Chaman border crossing was sealed.
In February it was closed along with other crossings after a series of terrorist attacks, which Pakistan said were launched by militants hiding in Afghanistan.