In the first incident, Mukarram Shah was killed in an explosion as he entered his car in the village of Banjot, said Abdullah Khan, police chief of the nearby city of Mingora. The explosives appeared to have been set off by remote control, he added.
In the other attack, a blast hit the convoy of provincial assembly candidate Masoom Shah as he was returning from a campaign meeting, police officer Zahir Khan said. He said Shah and three of his aides suffered wounds from the roadside bomb.
Both men belong to the secular Awami National Party, which supported military operations against militants in the region.
The ANP is one of three secular-leaning political parties that the Pakistani Taliban have threatened to attack during campaigns for the May 11 parliamentary elections. The other two parties are the Pakistan People's Party (PPP) and the Muttahida Qaumi Movement (MQM).