The company also said deliveries of its planes slumped to an 11-year low last year.
It means the US firm has lost its title as the world’s biggest plane maker to European rival Airbus.
The 737 Max has been grounded since March after two crashes in which 346 people were killed.
Boeing said net orders after cancellations for 2019 totalled just 54 planes. That compares with 893 the previous year.
29 October 2018: A 737 Max 8 operated by Lion Air crashes after leaving Indonesia, killing all 189 people on board
31 January 2019: Boeing reports an order of 5,011 Max planes from 79 customers
10 March 2019: A 737 Max 8 operated by Ethiopian Airlines crashes, killing all 157 people on board
14 March 2019: Boeing grounds entire 737 Max aircraft fleet.