Specific heat and resistivity measurements were performed on polycrystalline samples of the solid-solution Y x Lu 1Ϫx Ni 2 B 2 C in order to determine thermodynamic properties such as the specific-heat difference ⌬C, the thermodynamic critical field H c (T), as well as the upper critical field H c2 (T). These properties were analyzed within the Eliashberg theory including anisotropy effects, yielding electron-phonon coupling anisotropy parameters ͗a k 2 ͘ ranging between 0.02 and 0.03 for the whole series, and Fermi velocity anisotropy parameters of ͗b k 2 ͘ϭ0.245-0.3. Excellent agreement between theory and experiment was achieved for these parameters, the Sommerfeld constant ␥ and model phonon spectra determined from specific heat measurements. An analysis of the previously investigated boronitride La 3 Ni 2 B 2 N 3Ϫ␦ for comparison revealed the electron-phonon anisotropy to be of great significance in describing its thermodynamic properties and the calculations yielded ͗a k 2 ͘ Ӎ0.08 and ͗b k 2 ͘Ӎ0.245. The T c behavior within the series Y x Lu 1Ϫx Ni 2 B 2 C is discussed in terms of the density of states at the Fermi level N(0).