A search for a Standard Model Higgs boson decaying to b$\bar{\text{b}}$ produced in association with a W or Z boson is reported for the following channels: W(e$\nu$)H, W($\mu\nu$)H, W($\tau\nu$)H, Z($\mu\mu)$H, Z(ee)H, and Z($\nu\nu$)H. The search is performed on data samples corresponding to integrated luminosities of 5.1 $\text{fb}^{-1}$ at $\sqrt{s} = 7$ TeV and 18.9 $\text{fb}^{-1}$ at $\sqrt{s} = 8$ TeV, collected by the CMS experiement at the LHC. An excess of events is observed above the expected background with a local significance of 2.1 standard deviations for a Higgs boson with mass 125 GeV consistent with Standard Model expectations. The signal strength corresponding to this excess, relative to that of the Standard Model Higgs boson, was 0.89 $\pm$ 0.43.