The interaction of synthetic skupite UO3 center dot 2.25H(2)O with aqueous solutions of La, Ce, Pr, Nd, Sm, Eu,Gd, Tb, Dy, Ho, Er, Tm, Yb, Lu nitrates under hydrothermal conditions at a temperature of 200 degrees C and varied acidity of the reaction medium yielded 17 previously unknown crystalline compounds of compositions LnU(3)O(10.5)center dot 6H(2)O (Ln = La, Ce, Pr, Nd, Sm), LnU(6)O(19.5)center dot 10H(2)O (Ln = Nd, Sm, Eu, Gd, Tb, Dy), LnU(2)O(7.5) (Ln = Dy, Ho, Er, Tm, Yb, Lu). The methods of chemical analysis, X-ray diffraction analysis, IR spectroscopy, and thermography were used to determine their composition and structure, and their dehydration and thermal decomposition processes were examined. It was shown that the radii and the electronic structure of the atoms affect the composition and structure of the compounds obtained.