If buddhism is a non-theistic religion, can we say that it is a religion of science or one of philosophy?

You can name Buddhism as you choose, but you should keep in mind that, from the beginning, Buddhism has had no purpose to interpret or certify any problem belonging to science, as the industries of modern science do today. Buddhism does not put science at the top of its teachings; it is not inclined to any interpretation of science, although what the Buddha taught was always very scientific. The truth is that, when science is intensively developed, its discoveries help us verify the subtle problems of the Buddhist teachings, particularly those in the field of psychophysical studies. Perhaps, for this reason, Buddhism has become increasingly popular today and has quickly developed in Western countries—particularly in academic environments such as the universities of North America and Europe. However, the most fundamental doctrine of Buddhism is, as expressed in the teaching of the Four Noble Truths, to deeply realize the causes of suffering in order to transform them into true happiness and liberation. In reality, Buddhism is often called a religion of wisdom; indeed, one Buddhist expression states that “only wisdom should be a true career.” However, according to Buddhist teachings, wisdom and compassion must always go together. Thus, to be exact, wisdom and compassion are always the true career of a Bodhisattva or a Buddha.

Buddhism has had no purpose to interpret or certify any problem belonging to science, as the industries of modern science do today. Buddhism does not put science at the top of its teachings; it is not inclined to any interpretation of science, although what the Buddha taught was always very scientific. The truth is that, when science is intensively developed, its discoveries help us verify the subtle problems of the Buddhist teachings, particularly those in the field of psychophysical studies. Perhaps, for this reason, Buddhism has become increasingly popular today and has quickly developed in Western countries—particularly in academic environments such as the universities of North America and Europe.