We find exact exponentially expanding and contracting de Sitter solutions of the spatially homogeneous TeVeS cosmological equations of motion in the vacuum TeVeS model and a power law accelerated expanding solution in the presence of an additional ideal fluid with equation of state parameter -5 / 3 < \omega < -1 . A preliminary stability analysis shows that the expanding vacuum solution is stable , while in the ideal fluid case stability depends on model parameter values . These solutions might provide a basis for incorporating early-time inflation or late-time accelerated expansion in TeVeS cosmology .