The present invention relates to a polymyxin derivative wherein the derivative has a total of three positive charges at physiological pH and wherein the terminal moiety (D) of the derivative comprises a total of 1 to 5 carbon atoms The invention also relates to a method of treating a subject for a gram-negative bacterial infection by administering a polymyxin derivative of the invention in combination with a second antibacterial agent. Finally, the invention relates to a process for preparing such polymyxin derivatives.