Abstract-- Different models for computing the spatial relations have been developed in the last decade. Separate methods are used for computing topological, directional and distance relations. These models have also been extended in fuzzy domains based on fuzzy or vague objects and less attention has been paid to fuzzy relations. In this paper 8 fuzzy topological relations are computed with the help of 1D Allen relations and directional relations are evaluated by using fuzzy membership functions. A matrix of fuzzy relations is developed which provides complete set of information about a 2D scene. This method deals with two types of fuzziness (i) fuzziness involved in the objects position (ii) fuzziness about directional relations.