At least 17 people were killed when the village of Mafa in Borno state came under attack on Thursday, he adds.
The group has taken more than 500 women and girls hostage since it began its bloody insurgency in 2009, according to a new Human Rights Watch report.
But Boko Haram has not yet confirmed the ceasefire, and there is no indication that the girls are any closer to being released.
"The insurgents... grabbed young people, boys and girls, from our region," said Alhaji Shettima Maina, local community leader for Mafa.
The authorities in neighbouring Chad said the attacks were carried out by dissident factions within Boko Haram.