Effective collision strengths are presented for all the transitions among the 17 fine-structure levels arising from the 10 lowest LS states of Al III, i.e. those with configurations: 2p(6)3l (l=s,p,d); 2p(6)4l (l=s,p,d,f); 2p(6)5l (l=s,p,d). The effective collision strengths have been calculated using the R-matrix method. Each fine-structure level is assigned an index number ranging from 1 to 17, which are noted in the file 'j-index.dat'. The index values are used here in Table 7 to refer to particular transitions, eg. Index 1-3 denotes the 2p(6)3s 2SE(J=1/2) -- 2p(6)3p 2PO(J=3/2) transition.The effective collision strengths for each transition are presented for electron temperatures ranging from log10(T)=3.6 to log10(T)=5.60 in steps of 0.1.