The problem of the QND measurement of the phase of a linear quantum os
cillator is analyzed. It is shown that by measuring the quadrature amp
litude one can reach a resolution close to the fundamental limit in a
narrow range of phase values. A new method of QND phase measurement is
proposed and analyzed. This method is also based on the coordinate in
teraction between the quantum object and the measuring device but is f
ree from the limitation mentioned above. Several practical schemes of
phase measurements are discussed.