The conception of science progress comes from western philosophy of science exists two kinds of extreme view about the relationship between science development and science progress, one is “development equals to progress” , take the example of logic experientialism; the other is “development has nothing to do with”, take the example of Kuhn.

We will dispread a new sight to study science and science progress if we regard science as one of special important social factors.

The logical model of rationality of scientific progress regards truth or closing-to-truth as the aim of science and looks for a kind of fixed regulations of methodology for judging the progress of knowledge and theory comparison and selection only by logical relations.

According to the standard for the rationality of scientific progress,we can divide the modes of scientific progress of the western scientific philosophy in our times into three types——the mode that adheres to the rationality of scientific progress,the standpoint that opposes the rationality of scientific progress,and the standpoint of new historicism that is between the two previous modes.

The impact of science and technology progress on economy growth is ana- lyzed, The impact of science and technology progress on economy growth, can be evaluated by Solow method, Finally some problems should be paid attention to when applying mathematic models.