A statistical analysis was conducted for road traffic accidents and associated casualties in Bangladesh. This was undertaken in order to assist the policymakers to take appropriate steps to be reduced the road traffic accidents and the associated casualties. Secondary data (collecting from Bangladesh government publications) were explored, analysed and modelled statistically. An exploration was undertaken using the averages (per annum) of rates of KSI/ fatal casualty, accident and involved vehicles applying Bar-charts. In addition, annual time series data were investigated using trend lines. A detailed analysis of variances was conducted using the rates (per 10,000 populations) of BRTA traffic accident and casualty data applying mainly non-parametric tests. Time series; one-way and two /three-way classified data are analysed applying linear regression model; Mann-Whitney or Kruskal-Wallis tests and Univariate regression model respectively. Finally, modelling of two/ three-way data was conducted using the frequencies of fatal casualty, fatal accident and involved vehicles applying Poisson regression. The most significant findings from this research were that pedestrians are highly involved in the casualty figures. Fatal hit pedestrian is the main collision type accident. Maximum fatal accidents occur at out of junction. Cities have higher accident and casualty rates than that for non-cities (divisions/ districts, excluding cities). In particular, Rajshahi city and Dhaka city have the highest accident rates. National highways are the main venues of accidents and casualties. Heavy vehicles including buses and trucks are predominantly involved in casualty accident. Implications from this research have been considered and suitable recommendations have been made.