We study pair-production as well as the triple self-couplings of the neutral Higgs bosons of the Minimal Supersymmetric Standard Model (MSSM) at the future International Linear e+e-Collider (ILC) and Compact Linear Collider (CLIC). The analysis is based on the reactions [Formula: see text] with hi= h, H, A. We evaluate the total cross-section for both [Formula: see text] and calculate the total number of events considering the complete set of Feynman diagrams at tree-level. We vary the triple couplings κλhhh, κλHhh, κλhAA, κλHAA, κλhHHand κλHHHwithin the range κ = -1 and +2. The numerical computation is done for the energies expected at the ILC with a center-of-mass energy 500, 1000, 1600 GeV and a luminosity 1000 fb-1. The channels [Formula: see text] and [Formula: see text] are also discussed to a center-of-mass energy of 3 TeV and luminosities of 1000 fb-1and 5000 fb-1.