The IceCube detector currently under construction at the geographical South Pole has the potential to discover extraterrestrial sources of high-energy neutrinos in the approximate energy range of 100 GeV up to 100 PeV. We present the status of two searches for astrophysical point sources of neutrinos using a 22-string detector configuration, operating from May 2007 until April 2008. A binned analysis searches the Northern Hemisphere for neutrino sources in the energy band of TeV to PeV. A dedicated galactic point source analysis, optimized to lower energies between 100 GeV and 10 TeV, covers the galactic plane and four candidate sources. The latter analysis includes data from AMANDA now integrated into IceCube as a more densely instrumented sub-detector. © 2009 American Institute of Physics.