HETE-2 and BeppoSAX have localized and reported more than 110 GRBs. For about a third of them, optical afterglows have been detected and about 30 of them have known redshifts. Moreover, recent rapid follow-up observations enable us to study dim afterglows (so-called dark bursts) and afterglows of XRFs. We have studied properties of prompt emissions ( E peak, fluence) observed by HETE-2 or BeppoSAX and properties of optical afterglows (flux) reported in the literature and GCN circulars. We have found that the correlations between fluence of prompt emissions and flux of optical afterglows are significant in 0.03-0.1 day time interval. We will discuss implications of these results on the GRB mechanism, such as conversion efficiency from the kinetic energy into radiation, geometry of the jet, and their relation with the properties of the prompt emission.