The program CFPjOrbit written in FORTRAN 90 is aimed at generating the list of one-particle and two-particle coefficients of fractional parentage (CFPs) for the single j-orbit with isospin. The approach is based on a simple enumeration scheme for antisymmetric A-particle states and an efficient method for constructing the eigenvectors of an idempotent matrix as proposed in [A. Deveikis, R.K. Kalinauskas, B.R. Barrett, Ann. Phys. 296 (2002) 287]. The program provides fast calculation of coefficients of fractional parentage for high j-orbits with isospin and produces results that have only small numerical uncertainties. The auxiliary program EnumCFP allows one to perform enumeration of the coefficients.