A relationship between the North Atlantic air-pressure at sea-level and the anomalies of sea level at several Baltic gauges is identified. Monthly means from twenty observed winters are used to fit a statistical model and further observations from this century are used to validate it. The model is able to estimate sea level anomalies from the air-pressure field to a good level of approximation. As main forcing for the sea level anomalies, zonal wind-stress is identified. For the past 89 years, we found that a slight decrease of sea level anomalies was induced by air-pressure. A slight increase is found when air-pressure from a GCM-"greenhouse"-experiment is downscaled.