In this paper we propose a tight-binding molecular dynamics with parameters fitted to firstprinciples calculations on the smaller clusters and with an environment correction, to be a powerful technique for studying large transition/noble metal clusters. In particular, the structure and stability of Cun clusters for n = 3−55 are studied by using this technique. The results for small Cun clusters (n = 3 − 9) show good agreement with ab initio calculations and available experimental results. In the size range 10 ≤ n ≤ 55 most of the clusters adopt icosahedral structure which can be derived from the 13-atom icosahedron, the polyicosahedral 19-, 23-, and 26-atom clusters and the 55-atom icosahedron, by adding or removing atoms. However, a local geometrical change from icosahedral to decahedral structure is observed for n = 40 − 44 and return to the icosahedral growth pattern is found at n = 45 which continues. Electronic "magic numbers" (n = 2, 8, 20, 34, 40) in this regime are correctly reproduced. Due to electron pairing in HOMOs, even-odd alternation is found. A sudden loss of even-odd alternation in second difference of cluster binding energy, HOMO-LUMO gap energy and ionization potential is observed in the region n ∼ 40 due to structural change there. Interplay between electronic and geometrical structure is found.