The MAX 10 accounted for more than half of Boeing's total order book for the show, as the company sold 571 jets worth $74.8 billion.
That included 147 new orders and commitments for the 737 MAX 10, plus 214 conversions to the MAX 10 from other models to support the launch of the new plane.
"It is getting a big endorsement from airlines and that is leading to more lessors endorsing it too", Ihssane Mounir, Boeing vice president for sales and marketing, told reporters.
Boeing hasn't officially named the plane but the concept has been been called "797" by industry leaders - the next in the numbering series that debuted 60 years ago with the Boeing 707. Boeing also said that the fuselage of its proposed next new airplane will be made from carbon fiber composite and will have an unusual cross-section.
The 737 MAX is the fastest-selling aircraft in Boeing history, accumulating more than 3,700 orders from 87 customers worldwide.
Qatar Airways firms up an order for 20 Boeing BA.N 737 MAX jets after letter of intent previous year for up to 60 737 MAX 8 jets. Boeing on the up - as Airbus lags in this year's race for orders.
Boeing was able to capitalize on the official launch of the 737 Max 10, a new stretched version of its single-aisle workhorse jet.
AirAsia co-founder Tony Fernandes remained in Paris on Tuesday after signing a data deal with Airbus and picking up an airline award, and could use the opportunity to evaluate jets at attractive prices as new orders wane. Final assembly will take place exclusively at Boeing's plant in Charleston, South Carolina, making It the first of the company's commercial aircraft to be produced outside Boeing's historic home of Seattle. With the latest advances in engines and aerodynamics, they promise significant fuel savings to airlines, which have responded with hundreds of orders for single aisle aircraft that are the workhorses of their fleets. However, executives at Airbus say that the Max 10 is a bigger threat to other models from Boeing than to the Airbus Neo.
He said the Max series is oversold through 2020, and capacity is finite for the model favored by budget carriers.
Malaysia Airlines is meanwhile bringing in six second-hand Airbus A330s, which are available at attractive prices, he said at the Paris Airshow.
Airbus's chief operating officer for commercial aircraft customers, John Leahy, chose to look at the overall picture.