Nuclear anapole moments of Cs-133, Tl-203,Tl-205, Pb-207, Bi-209 are t
reated in the single-particle approximation. Analytical results are ob
tained for the oscillator potential without spin-orbit interaction. Th
en the anapole moments are calculated numerically in a Woods-Saxon pot
ential which includes spin-orbit interaction. The results obtained dem
onstrate a remarkable stability of nuclear anapole moment calculations
in the single-particle approximation.