The　technology　of　small　point-focusing　concentrator　of　solar　energy　has　been　developing　rapidly　in　recent　years　owing　to　its　compact　structure　and　high　collecting　efficiency.　This　report　presents　important　developments　of　small　point-focusing　concentrator　in　the　past　decade.　This　kind　of　solar　concentrator　refers　to　the　parabolic　dish　concentrator,　the　point-focusing　Fresnel　lens,　and　the　Scheffler　reflector.　Technological　advances　of　these　concentrators　and　the　related　performances　have　been　presented.　There　are　three　main　mirror　fabrication　technologies　for　dish　concentrator,　which　are　high　polishing　metal,　silver-glass　mirror　and　vacuum-membrane.　Polymethyl　methacrylate　is　widely　used　as　material　in　Fresnel　lens.　Many　scholars　have　proposed　new　lens　shape　to　improve　the　uniformity　of　focusing.　The　Scheffler　reflector　has　a　characteristic　of　fixed　focus,　but　its　design　parameters　are　not　perfect　so　current　research　focuses　on　the　theoretical　calculation　of　the　mirror.　In　addition,　typical　applications　of　the　small　point-focusing　concentrator　in　photovoltaic　system,　solar　thermal　system,　solar　chemical　system,　and　day-lighting　system　are　summarized.　Upon　listing　the　important　publications　in　open　literature,　a　category　of　main　applications　of　such　kind　of　solar　collector　is　provided　based　on　the　working　characteristics　of　the　system.