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This paper attempted at finding the long run relationship or cointegration between foreign direct investment and economic growth for Bangladesh using time series data of 1973-2007. For testing cointegration, the two modern time series econometric approaches- bound testing Autoregressive Distributed Lag (ARDL) Model and Engle Granger two step procedures- were executed and this study found that FDI and GDP was not cointegrated. Moreover, using Granger Causality test it was shown that the FDI and openness were not significantly causing the GDP per capital both in the short and long run. The study suggested adopting appropriate steps so that FDI can be used as a contributing factor to the economic development