In this paper,\ we introduce new properties of topological spaces defined by stars of coverings,\ 
which are called strict star-Lindel\"{o}fness and strict starcompactness.\ 
Following the fundamental studies on star covering properties by E.K.van Douwen,\ 
G.M.Reed,\ A.W.Roscoe and I.J.Tree\ (\cite{drrt}),\ there have been several related studies\ 
(see M.V.Matveev \cite{matveev1},\ \cite{matveev2},\ \cite{matveev3},\ for survey).\ 
Star-Lindel\"{o}f spaces have many nice properties.\ 
However,\ star-Lindel\"{o}fness is not preserved by closed subspaces\ (\cite{matveev1}).\ 
We define strict star-Lindel\"{o}fness to modify this defect and still 
so as to keep possible properties of star-Lindel\"{o}fness.\ Furthermore,\ 
we investigate relationships among these covering properties and give various examples.