Single-crystal whiskers of YBa2Cu3Ox (Y-123) phase with a length of about 2.5 mm were grown from sintered precursor powders with a nominal composition of Y1Ba2Cu3Te0.5Ca1.0Ox. EPMA analyses showed that the whiskers contain Ca but no Te with a composition of (Y0.86Ca0.14)Ba2Cu3Ox in which 14% Y is substituted by Ca. The whiskers show a critical temperature Tc of about 83 K and a critical current density, Jc of 4.4 × 104 A/cm2 at 82 K and self field along the c-axis. The whiskers exhibit interesting intrinsic Josephson effects along the c-axis.