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Cubic Y$_{2}$Ti$_{2}$O$_{7}$ single crystals doped with Er$^{3+}$ andYb$^{3+}$ ions have been studied by the methods of electron spin resonance(ESR) and selective laser spectroscopy. ESR spectra exhibit signals fromrare-earth ions that substitute for yttrium ions in sites with local trigonalsymmetry. The $g$ tensor components are determined. The results of opticalinvestigations indicate that impurity centers of several types are formed; thesublevel energies of the ground and excited multiplets of these centers arefound. Among the great variety of detected optical centers, the centers thatdominate in the formation of ESR spectra are discriminated. An analysis of theexperimental data using the exchange-charge model have made it possible todetermine the sets of parameters of the crystal field for Er$^{3+}$ andYb$^{3+}$ ions substituting Y$^{3+}$ ions in regular crystallographic sites inpyrochlore Y$_{2}$Ti$_{2}$O$_{7}$.

The Spectral and Magnetic Properties of Er$^{3+}$ and Yb$^{3+}$ Ions in Y$_{2}$Ti$_{2}$O$_{7}$ Crystals with a Pyrochlore Structure