In this paper, we mainly study relative compactness of relatively countable compactness space with some property P, where property P represents relative Lindel~f property, relative paracompactness, relative metacompactness and relative subparacompactness, we also provide some examples to explain what we give conditions can not be weaken.%本文主要研究了具有性质P的相对可数紧空间的相对紧性质，其中性质P分别代表相对Lindel~f性质，相对仿紧性，相对亚紧性和相对次仿紧性质，举例说明了所给出的条件是不可减弱的．
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