The authors report the direct observation of Anderson localization (AL) in a Bose-Einstein condensate (BEC) released into a one-dimensional waveguide with controlled disorder created by laser speckle. They operate in a regime where weak disorder and negligible interatomic interactions allow for AL. The BEC expands initially but stops expanding and forms an exponentially localized wave function, as evidenced by direct imaging of atomic density profiles over time. The localization length is extracted from the exponential fits of the density profiles and compared to theoretical predictions. The study also investigates the regime where the de Broglie wavelengths of the atoms are larger than the effective mobility edge, leading to algebraic decay of the density profiles. The method can be extended to higher dimensions and controlled interactions, offering a promising technique for studying Anderson localization in various quantum systems.The authors report the direct observation of Anderson localization (AL) in a Bose-Einstein condensate (BEC) released into a one-dimensional waveguide with controlled disorder created by laser speckle. They operate in a regime where weak disorder and negligible interatomic interactions allow for AL. The BEC expands initially but stops expanding and forms an exponentially localized wave function, as evidenced by direct imaging of atomic density profiles over time. The localization length is extracted from the exponential fits of the density profiles and compared to theoretical predictions. The study also investigates the regime where the de Broglie wavelengths of the atoms are larger than the effective mobility edge, leading to algebraic decay of the density profiles. The method can be extended to higher dimensions and controlled interactions, offering a promising technique for studying Anderson localization in various quantum systems.