We report on electrical resistivity measurements of the anti ferromagne tic CeCoGe2.1Si0.9 Kondo lattice under hydrostatic pressures, P similar to 11 kbar. Pressure induces a quantum critical point (QCP) at P-C approximate to 6.2 kbar. Around the QCP, the electrical resistivity shows a nearly linear temperature dependence over more than one decade of temperatures, which is associated with a non-Fermi liquid behavior. The pressure dependence of residual resistivity suggests that quantum criticality in our system is controlled mainly by the coexistence between the mechanisms of the spin fluctuations and the Griffiths phase. (C) 2007 Elsevier B.V. All rights reserved.