Charged massive particles (CHAMPs), when present during the Big Bang nucleosynthesis (BBN) era, may significantly alter the synthesis of light elements when compared to a standard BBN scenario. This is due to the formation of bound states with nuclei. This paper presents a detailed numerical and analytical analysis of such CHAMP BBN. All reactions important for predicting lightelement yields are calculated within the Born approximation. Three priorly neglected effects are treated in detail:(a) photodestruction of bound states due to electromagnetic cascades induced by the CHAMP decay, (b) late-time efficient destruction/production of 2 H, 6 Li, and 7 Li due to reactions on charge Z = 1 nuclei bound to CHAMPs, and (c) CHAMP exchange between nuclei. Each of these effects may induce orders-of-magnitude changes in the final abundance yields. The study focusses on the impact of CHAMPs on a possible simultaneous solution of the 6 Li and 7 Li problems. It is shown that a priorly suggested simultaneous solution of the 6 Li and 7 Li problems for a relic decaying at τx ≈ 1000 sec is only very weakly dependent on the relic being neutral or charged, unless its hadronic branching ratio is B h ≪ 10 −4 very small. By use of a Monte-Carlo analysis it is shown that within CHAMP BBN the existence of further parameter space for a simultaneous solution of the 6 Li and 7 Li problem for long decay times τx > ∼ 10 6 sec seems possible but fairly unlikley.