Previous two-step potential model calculations for the pion form factor in the space-like region are now extended to include the form factor of the K meson, in an anticipation that the experimentalists will shortly be able to measure it for q 2 up to, say, 2.0 GeV 2 also, as Dally et al. have already measured it for q 2 up to 0.2 GeV 2. Although the curve does not fit well the present experimental data ( q 2 up to 0.2 GeV 2), it is, however, anticipated that the model will probably fit the experimental data fairly well for slightly higher values of q 2, say, up to 2.0 GeV 2, when measured, as it does very successfully in the case of the pion over a wide range of momentum transfer q 2.