The study presents a methodology for introducing computational fluid dynamics to gust-response analysis in a computationally efficient manner. Two approaches for computational-fluid-dynamics-based gust-response analysis of free elastic aircraft are presented. The direct approach involves full aeroelastic simulation within the computational fluid dynamics run. The hybrid approach involves computing rigid sharp-edge gust responses in a computational fluid dynamics run, computing the gust input forces due to arbitrary gust profiles via convolution, and applying a linear aeroelastic feedback loop to compute the aeroelastic gust responses. The latter is highly computationally efficient, as only one relatively short computational fluid dynamics run is required for the computation of the sharp-edge gust response, after which responses to arbitrary gust profiles can be computed in seconds. The former is more elaborate and time-consuming and can be used in cases of critical responses. The use of the two methods is demonstrated on a transport aircraft, flying trimmed at Mach 0.85, 10,000 ft, that passes through one-minus-cosine shaped gusts, as required by the Federal Aviation Regulations.