Animal Resources Development Minister Swapan Debnath said this project would make the families self-reliant and increase milk production in the state.
The process of distribution of cows would start soon and the entire process would be completed in the next couple of months, he told PTI.
"We are hopeful that through the distribution of cows we will be able to enhance milk production. That is the reason we have decided to distribute female calves," the minister said.
"But there is still shortfall and we want to overcome it," Debnath said.
To a question, he said the decision to distribute cows has nothing to do with the panchayat elections.
As per the decision, each family will get one cow, the minister said.
The distribution of cows would start with Birbhum district where the state government has set an initial target of giving away 1,000 cows.