At the beginning of 1915 there appeared the prototype Curtiss Model R, which was in 1935 given the retrospective designation Model 2, an enlarged version of the Model N with equal-span staggered wings. It was flown both as a land-plane and float seaplane. Pilot and observer of this military reconnaissance biplane were housed in one long open cockpit and the Model R could be distinguished from the Model N by its inter-plane ailerons and lack of a fixed fin.

The R-2 introduced unequal-span wings with ailerons attached to the upper wing, a vertical tailplane which in-cqrporated a fixed fin and horn-balanced rudder and there were separate and widely spaced cockpits for the two crew members. The Curtiss V-X engine of the prototype was retained. The R-2 went into production at the end of 1915 and was built in some numbers, 12 going to the US Army and the latter making only limited use of the type. The US Army R-2s were flown in support of the expedition against the Mexican insurgent leader Pancho Villa, but although their serviceability was poor they flew a number of reconnaissance and liaison missions.

The one-off R-2A was an equal-span variant and established an American domestic altitude record of 2740m, carrying pilot and three passengers, in August 1915. Two R-3 seaplanes, resembling the R-2 but with increased wing span, were brought by the US Navy in 1916.