We examine the running vacuum model with \Lambda ( H ) = 3 \nu H ^ { 2 } + \Lambda _ { 0 } , where \nu is the model parameter and \Lambda _ { 0 } is the cosmological constant .
From the data of the cosmic microwave background radiation , weak lensing and baryon acoustic oscillation along with the time dependent Hubble parameter H ( z ) and weighted linear growth f ( z ) \sigma _ { 8 } ( z ) measurements , we find that \nu = ( 1.37 ^ { +0.72 } _ { -0.95 } ) \times 10 ^ { -4 } with the best fitted \chi ^ { 2 } value slightly smaller than that in the \Lambda CDM model .