At the present work the method of fast rendering the translucent objects formed by free form surfaces is offered. For the majority flight simulators or car simulators atmospheric effects are realized in the manner of 2D texture (clouds) or simply resulting colour in the pixel is blended with some weight, which depends on the coordinate Z with the white colour (fog). In given work realization of three-dimensional atmospheric effects is offered, in which the information on deep complexity of scene is presented. The purpose of the given work is a realization rendering such objects, filled by the texture, for which integral of transparency on the given length is fast calculated.