  The 12C+12C fusion reaction is famous for its complication of molecular
resonances, and plays an important role in both nuclear structure and
astrophysics. It is extremely difficult to measure the cross sections of
12C+12C fusions at energies of astrophysical relevance due to very low reaction
yields. To measure the complicated resonant structure existing in this
important reaction, an efficient thick target method has been developed and
applied for the first time at energies Ec.m.<5.3 MeV. A scan of the cross
sections over a relatively wide range of energies can be carried out using only
a single beam energy. The result of measurement at Ec.m.= 4.1 MeV is compared
with other results from previous work. This method would be useful for
searching potentially existing resonances of 12C+12C in the energy range 1
MeV<Ec.m.<3 MeV.
