We have investigated the structural and elastic behaviors of the rocksalt CaX (X = S, Se, Te) crystals by means of first principles calculations using the full-potential augmented plane wave (FP-LAPW) method. Ground state properties such as the lattice parameters a, bulk modulus B, pressure derivative B', and the elastic parameters (C_(11), C_(12), and C_(44)), have been directly calculated and compared to previous experimental and theoretical results when available. Thermal properties, including the linear and cubic expansion coefficients and the heat capacity, have been estimated using a quasi-harmonic Debye model.