Accurate potential energy curves, transition moments, spectroscopic constants, radiative transition probabilities, and lifetimes for the states X²sigma+ and A²pi of BeF, MgF and CaF are reported using high level calculations. Diagonal transitions dominate for the A²<FONT FACE=Symbol>P ®</FONT> X²sigma+ system. Radiative lifetimes for nu' = 0 are predicted to be 6.81 ns, 7.16 ns and 19.48 ns, respectively for BeF, MgF and CaF. The result calculated for the CaF molecule are in excellent agreement with the experimental result equal to 21.9±4.0 ns.