We investigated the effect of socioeconomic, demographic and health-related indicators on the incidence of and survival from cancers of the oesophagus, stomach and pancreas diagnosed during 1994-2003 with follow-up through 2006 in Denmark using information from nationwide registers. The analyses were based on data on 2075 patients with cancer of the oesophagus, 2673 with stomach cancer and 3657 with pancreatic cancer in a cohort of 3.22 million persons born between 1925 and 1973 and aged 30 years. Overall, we found decreasing incidence rates of all three gastrointestinal cancers with increasing social advantage; this was most pronounced for oesophageal cancer and least for pancreatic cancer. The effect of socioeconomic position on survival after these cancers was less clear, perhaps due to the poor relative survival from these cancers and the fact that all three cancers are relatively rare in Denmark.