Issues of Topology control (TC) have captured more attentions in Wireless Sensor Networks (WSN). While WSN applications are normally optimized by the underlying network topology. Now a day’s WSNs is one of the most interesting areas of research and are universally being used and deployed or implements to monitor the surrounding physical environments. A number of approaches have been invested in wireless sensor networking, such as topology directed routing, sensor coverage based TC and network connectivity based TC. Many schemes have proved to be able to provide a better network monitoring and communication performance with prolonged system lifetime. In this survey paper, it provides a view of the studies in the area of WSN with different topology issues. By summarizing previous achievements and analyzing existed problems, we provide some idea within this field and also point out some research direction for the future.