Improving global access to safe drinking water and hygienic sanitation is one of the least expensive and most effective means to improve public health and quality of life. Safe drinking water is a right and proper sanitation is a dignity of the citizen. To ensure sound human health and sustainable environmental condition good management of freshwater sources and access to safe water and safe sanitation are necessary. Though there is no lack of water sources, access to safe drinking water in Bangladesh is still not in optimum level. This puts the health of people at risk of diseases such as cholera, diarrhoea, dysentery, hepatitis A and typhoid. This study analyzes historical records of Bangladesh regarding access to safe drinking water and hygienic sanitation and make prediction with a view to achievement of sustainable development goals (SDG). Yearly data used in this study was collected from World Bank dataset. Trend analysis technique and Autoregressive Integrated Moving Average (ARIMA) models were used to forecast the future scenario of percentages of population with access to improved water and sanitation. This study exposes that percentage of people having access to safe drinking water and hygienic sanitation of Bangladesh follows a linear increasing trend. However, the rates of increasing need to be speeded up to reach SDG target by 2030. Forecasts from the trend models accompanied with ARIMA specifications reveal that in 2030, about 98% and 75% people of Bangladesh would have access to safe drinking water and hygienic sanitation respectively.