We develop a new method for the determination of the absolute value of the
magnetic field strength in coronal closed magnetic structures, based on the
analysis of flare-generated oscillations of coronal loops. Interpretation
of the oscillations observed in terms of global standing kink waves allows
to connect the period of the oscillations and the loops length with the mag
netic field strength in the loops. For loop oscillations observed with TRAC
E on 14th July 1998 and 4th July 1999, we estimate the magnetic field stren
gth as 4-30 G. Using TRACE 171 Angstrom and 195 Angstrom images of the loop
, taken on 4th July 1999 to determine the plasma density, we estimate the m
agnetic field in the loop as 13 +/- 9 G. Improved diagnostic of the loop le
ngth, the oscillation period, and the plasma density in the loop will signi
ficantly improve the method's precision.