New efficient programs to calculate general recoupling coefficients. II: Evaluation of a summation formula. In part I [ibid. 83, 275--292 (1994; Zbl 891.17002)], the authors described a program NJFORMULA to generate a summation formula in terms of 6-$j$ coefficients for a general angular momentum recoupling coefficient. Here they present programs for the second part of the problem, i.e. the numerical computation of a general recoupling coefficient by evaluating the formula generated by the program NJFORMULA. They describe a sequential version NJSUMMATION, written in C, which runs on a range of computers, as well as a parallel version NJSUMPAR, also written in (Parallel) C, which runs on an arbitrary network of transputers.