Spatial information have wide applications, e.g., location-based administrations, and geometric extend questions (i.e., finding focuses interior geometric zones, e.g., circles or polygons) are one of the crucial search capacities over spatial information. The rising request of outsourcing information is moving large-scale datasets, counting large-scale spatial datasets, to open clouds. In the interim, due to the concern of insider aggressors and programmers on open clouds, the protection of spatial datasets ought to be cautiously protected while questioning them at the server side, particularly for location-based and medical utilization. In this venture, we formalize the concept of Geometrically Searchable Encryption, and propose an productive plot, named FastGeo, to ensure the protection of clients' spatial datasets put away and questioned at a open server. With FastGeo, which is a novel two-level look for scrambled spatial information, an honest-but-curious server can productively perform geometric extend inquiries, and accurately return information focuses that are interior a geometric run to a client without learning delicate information focuses or this private inquiry. FastGeo bolsters self-assertive geometric regions, accomplishes sublinear look time, and empowers energetic overhauls over scrambled spatial datasets. Our conspire is provably secure, and our test comes about on real-world spatial datasets in cloud stage illustrate that FastGeo can boost look time over 100 times. © 2018 IAEME Publication.