Hyper-elastic boom-deployable mechanisms are increasingly used to support and collapse the optical film of space satellites.To avoid fatigue crack caused by stress concentration during operation and to prolong service life, the stress in the hyper-elastic boom after flattening under different layup operations was studied. First, a finite-element model of a single lenticular honeycomb(SLH) boom was established, and a non-linear numerical analysis after flattening was performed using the explicit dynamic method. Thereafter, an approximate model of the radial basis function(RBF) was established using the maximum stress after flattening under different lamination modes of the SLH boom. Finally, the Neighborhood Cultivation Genetic Algorithm in ISIGHT software was used to optimize the layup angle. Simulation results show that the error values of the stresses between the finite-element and RBF results are less than 9.95%.According to the resultsobtained,the SLH boom is laminated with two layers, with the optimal layering method constituting the first and second layers, 81.962° and 82.671°, respectively.