Much of the violence was in the southern coastal town of Mathabria, where clashes broke out yesterday when thousands of ruling party supporters attacked police and border guards and snatched ballot boxes.
At least five persons were killed and several others injured in Mathbaria area that saw the deadliest violence.
Apart from this, two persons were killed in Cox's Bazar and one each in Jhalakathi, Netrakona and Sirajganj in polls-related violence.
Three persons died on the spot while three others passed away on way to hospital in Barisal.
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Main opposition outside parliament Bangladesh Nationalist Party (BNP) called the polls a "farce" as their nominees bagged only 30 seats in 712 union councils and attributed the violence to the newly introduced system of contesting polls with party tickets.
"We previously feared the new system will spark violence, our apprehension turned true," BNP Spokesman Asaduzzaman Ripon told PTI a day after the polls.
Awami League activists had laid siege to a college centre where the counting was under way, said police official Abu Ashraf. Most of the dead were ruling party supporters.
Elections to 643 Union Parishad are slated for March 31 in the second phase and 681 Union Parishad on April 23 in the third phase. Around 2,200 unions will go to polls in three more phases till June.
BNP, which boycotted the 2014 general elections but decided to take part in the local government polls to revamp their politics, said almost all the local council polls were marred by violence, rigging and fraud including ballot- stuffing by the ruling party supporters.