The invention discloses an olefin polymer-containing catalyst component used for olefin polymerization. The catalyst component is obtained by pre-polymerizing an olefin polymerization catalyst, an activator and olefin, and then storing offline, wherein the conditions of storing offline are as follows: the storage period is greater than 1 minute and less than 10 years, the storage temperature is -50 DEG C to 80 DEG C, A(Time, Temp) of the catalyst component is greater than or equal to A(0-1, Temp)*50%(g polymer/g reactive metal center), and when the fluctuation range of the storage temperature is within -10 DEG C to 10 DEG C, A(Time2, Temp) is greater than or equal to A(Time1, Temp)*50%(g polymer/g reactive metal center). The invention also discloses a catalyst used for olefin polymerization, comprising the olefin polymer-containing catalyst component, an aluminium compound and optionally, an external electron donor compound. When the catalyst component and the catalyst are applied in olefin polymerization, the problems of aggregation, caking and the like caused by catalyst particle breakage and local hot points can be avoided, and the fine powder content can be reduced.