Fault-tolerant　topology　control　in　Wireless　Sensor　Networks　(WSNs)　has　drawn　a　significant　amount　of　research　interest　and　become　a　hot　point.　In　this　paper,　we　first　propose　a　centralised　k-connected　fault-tolerant　topology　control　algorithm　with　Particle　Swarm　Optimisation　(PSO)　called　CKFTC-PSO.　In　CKFTC-PSO,　we　take　both　issues　of　node　failure　and　power　efficiency　into　consideration　and　give　the　mathematical　model　of　k-connected　fault-tolerant　topology　control　problem.　Inspired　by　physics　of　Genetic　Algorithm　(GA),　the　principles　of　mutation　and　crossover　operator　in　GA　are　incorporated　into　the　proposed　CKFTC-PSO　algorithm　to　achieve　a　better　diversity　and　break　away　from　local　optima.　Based　on　CKFTC-Pso,　we　then　propose　a　distributed　k-connected　fault-tolerant　topology　control　algorithm　with　PSO　called　DKFTC-PSO.　DICFIC-PSO　has　better　performance　than　CKFTC-PSO　in　power-efficiency　while　preserve　k-connectivity.　Simulation　results　are　presented　to　demonstrate　the　effectiveness　of　the　proposed　algorithms.