"Coalition aircraft targeted a Taliban position as part of the same operation which wounded a woman and a child," police said.
Woman, child wounded
Both wounded were receiving treatment in hospital, he said.
The violence came after Hamid Karzai, the Afghan president, sparked a major row with neighbouring Pakistan by threatening to launch attacks on fighters allegedly hiding in Pakistani territory.
The unrest follows the escape of more than 1,000 Taliban and other prisoners in a suicide attack on the main jail in the southern city of Kandahar on Friday night, which also left many prison guards dead.
The Taliban have stepped up an insurgency against Karzai's US-backed government since being removed from power in late 2001, resulting in the loss of thousands of lives.