Both schools belong to economics, but there are still some differences in time and research methods.

First of all, the origins of the systematic development of these two schools are not the same. The systematic development of classical economics actually started from Adam Smith and developed by Ricardo and others, but the systematic development of neoclassical economics is a basic theoretical framework of macroeconomics and microeconomics after three revolutions: Keynes Revolution, Chamberlain Revolution and Rational Expectation Revolution.

Secondly, the two schools of economics came into being at different times. Classical economics actually came into being in the process of development from the middle of17th century, and finally completed the relevant theories in the early of19th century, reaching a mature position, while neoclassical economics did form a market economy, which came into being after the 20th century.