We analyze the production of neutral Higgs particles in association with the supersymmetric scalar partners of the third generation quarks at future high-energy hadron colliders (upgraded Tevatron, LHC) and e + e − linear machines (including the γγ option). In the Minimal Supersymmetric extension of the Standard Model, the cross section for the associated production of the lightest neutral h boson with the lightest top squark pairs can be rather substantial at high energies. This process would open a window for the measurement of the h t ̃ t ̃ coupling, the potentially largest coupling in the supersymmetric theory.