The oil company has now withdrawn from the New York permitting process for the Cape Vincent project in the north of the state.
BP said it will "wind down all of its contracts and agreements for the project". Leases connected with the project will be terminated from 31 March and the met masts on the site will be taken down.
BP announced last April that it is planning to sell its 2.6GW US wind portfolio. However, since then there have been conflicting reports about its intentions.
In July, the company said it had reversed its decision to sell the projects due to a lack of an appropriate response from the market, but reports since have claimed the plan is still going ahead.
According to local press reports, BP twice made attempts to sell the Cape Vincent project, but failed to do so.
The proposed wind farm has been the subject of a tussle between locals since it was first proposed in 2005. Some have been vocal in their support for the project, while others, including many holiday home owners, have opposed the development from the start.