Phased　telescope　array,　also　known　as　Fizeau　interferometer　or　optical　sparse　aperture　imaging　system,　collects　the　beams　of　each　sub-telescope　and　forms　a　picture　of　the　object.　Due　to　the　decrease　in　area　of　collecting　light,　compared　with　equivalent　diameter　telescope,　the　contrast　of　phased　telescope　array　in　middle　and　high　frequency　is　low,　but　both　of　the　phased　telescope　array　and　equivalent　diameter　telescope　almost　have　the　same　cut　off　frequency.　Therefore　a　high　resolution　and　clear　picture　can　be　restored　by　post-processing　of　the　blurred　picture.　There　are　several　methods　of　post-processing,　nearly　all　of　which　are　going　to　deconvolve　the　blurred　picture.　Most　deconvolution　methods　are　in　need　of　practical　point　spread　function　(PSF)　or　optical　transfer　function　(OTF).　However,　it　is　usually　hard　to　obtain　a　practical　PSF　or　OTF　due　to　the　large　aperture　diameter　of　system.　Even　though　the　practical　PSF　or　OTF　can　be　obtained,　the　cost　for　this　implementation　will　be　very　high　for　a　space-based　telescope.　Fortunately,　the　blind　deconvolution　based　on　total　variation　(TV)　provides　the　possibility　to　avoid　this　situation,　because　the　TV　blind　deconvolution　is　less　dependent　on　practical　PSF　or　OTF,　even　without　any　prior　knowledge　and　will　preserve　the　edge　information　of　image.　The　TV　blind　deconvolution　has　achieved　great　success　in　many　fields　and　has　been　studied　for　decades.　However,　due　to　the　complexity　of　PSF,　the　TV　blind　deconvolution　has　not　been　used　in　phased　telescope　array.　In　this　paper,　we　have　investigated　the　validation　of　TV　blind　deconvolution　in　phased　telescope　array,　and　reveals　that　the　TV　blind　deconvolution　is　effective　in　image　restoration.