Reaction rate of the process d( ; )6Li has been calculated in the framework of E ective Field Theory (EFT) at low energy. Deuteron is assumed as a dibaryon in the initial state. The reaction amplitude for the initial P-wave states of deuteron-alpha and reaction rate for sum of E1 and E2 transitions are found in the framework of EFT up to NLO. Our results are in good agreement with the recent experimental data and the other theoretical works.