We present two searches for the Higgs boson in {radical}s = 1.96 TeV p{bar p} collisions using data taken with the D0 detector during Run II of the Fermilab Tevatron collider. The first study is a search for neutral Higgs bosons produced in association with bottom quarks. The cross sections for these processes are enhanced in many extensions of the standard model (SM), such as in its minimal supersymmetric extension at large tan {beta}. The results of our analysis agree with expectations from the SM, and we use our measurements to set upper limits on the production of neutral Higgs bosons in the mass range of 90 to 150 GeV. The second study is a search for the standard model Higgs boson produced in association with the Z boson. We study the p{bar p} {yields} ZH {yields} {nu}{bar {nu}}b{bar b} channel, which is one of the most sensitive ways to search for light Higgs bosons at the Tevatron. We select multijet events with large imbalance in transverse momentum and two b-tagged jets. Then we search for a peak in invariant mass distribution of two b-tagged jets. After subtracting the backgrounds, we set the 95% C.L. upper limits on the {sigma}(p{bar p} {yields} ZH {yields} {nu}{bar {nu}}) x BR(H {yields} b{bar b}) for Higgs masses between 105 and 135 GeV.