Effects of Bose field environment with an Ohmic spectrum on estimation accuracy of the quantum parameters are investigated based on the typical spin-Boson model. Evolution results of quantum Fisher information of N independent atom systems are obtained by using the two order time-dependent quantum master equation and super operator method. Calculation results show that as the number of entangled atoms increases, the quantum Fisher information increases, and the attenuation of quantum Fisher information is also greatly accelerated. Better measurement accuracy than the standard quantum limit can be obtained in some characteristic period. In the super-Ohmic Bosonic environment with a larger spectral power exponent, the attenuation of Fisher information of quantum entangled state can be suppressed to a certain extent.