Results for the measurement of the inclusive b-jet cross section in RunII, 
based on 300 pb^-1 of good run data collected from February 2002 to 
September 2004, are presented. The analysis is performed on jets within the 
central rapidity region (|y|<0.7); jets are reconstructed using the MidPoint 
cone-based algorithm, in a Pt range of 38 GeV to 400 GeV/c (corrected transverse momentum) 
and exploits the good tracking capabilities of the CDF detector to tag 
b-jets by reconstructing secondary vertex with the SecVtx algorithm. 
A preliminary comparison with Next-to-Leading Order prediction is also presented.