An improved Grey Relational Analysis (GRA) is used to quantitatively investigate the impact of Jiangxi Province regional economy on local logistics demand. The grey characteristics of data from regional economy and logistics is studied, which shows GRA is applicable; then a multi-sequence GRA is proposed, which generates total 4 groups of grey relational sequence from three indices of industrial added value and logistics demand based on GRA. Finally statement and explanation are given based on the Jiangxi Provincial industrial situation.