"These new aircraft will also provide the SIA Group with new growth opportunities, allowing us to expand our network and offer even more travel options for our customers," said Goh.
Singapore Airlines has more than 50 Boeing 777s in service and is the launch customer of the 787-10, which is set to be delivered in the first half of next year.
With an existing order for 30 787-10s, the airline now has 49 on order, making it the largest customer for this type.
A long-range airplane that's efficient at any stage length, the 787-10 will serve the airline's medium-range operations while partnering with the 777-9 for the carrier's long-haul routes.
More than 600 Dreamliners have been delivered to 60 airlines of a total of 1280 orders.
Since entering service in 2011 after bumpy development and early manufacturing, the aircraft have flown 200 million people on more than 560 unique routes.
The 787-10, the largest family member, adds seats and cargo capacity and will be able to connect all points within Asia at lower seat costs than any other twin-aisle airplane, with the flexibility to also link to Europe, Africa and Oceania.
The new model 777 will draw on technology from the Dreamliner and will have carbon fibre wings that fold at their tips to allow them to fit into more airports.