We calculate the one-loop free energy for two parallel D-branes connec
ted by open bosonic (neutral or charged) string in a constant uniform
electromagnetic (EM) field at nonzero temperature. For neutral string,
external EM field contribution appears as multiplier (Born-Infeld typ
e action) of one-loop quantities without the external EM field. The Ha
gedorn temperature is not changed if compare with the case of standard
string gas in the constant electromagnetic field.