The cuts in BP's upstream business globally will include the loss of some 600 jobs in the North Sea.
The cost-cutting announced Tuesday comes as the price of oil dropped to a 12 year-low near $31 a barrel. Part of the decline is due to concern over a drop in demand in China, which is depressing commodity prices worldwide.
Company officials began notifying employees of the action in town hall meetings in Scotland.
Mark Thomas, regional president for BP North Sea, says in a statement that because of toughening market conditions "we need to take specific steps to ensure our business remains competitive and robust."