A process for oxidation of hydrocarbon, comprising contacting said hydrocarbon with hydrogen peroxide in the presence of a catalytically effective amount of crystalline, titanosilicate zeolite TS-1 catalyst for a time and at a temperature effective to oxidize said hydrocarbon, wherein the catalyst is in the form of binderless, shaped particles comprising titanosilicate, TS-1 and titanosilicate TS-1 precursors and having a defined cross sectional diameter. Also, a process for epoxidation of olefins using crystalline, titanosilicate zeolite TS-1 catalyst. Also a process for oxidation of hydrocarbon using crystalline, titanosilicate TS-1 catalyst, wherein the catalyst is in the form of binderless, shaped particles having a crystallite size of less than 0.2 micron and a defined cross sectional diameter.