The analysis of research status for based-constraint parametric design is given. This article gives main limitations for early CAD system firstly

then reviews the development process of parametric design by main features in different phases. Parametric design methods are divided into program parametric design

on-line alternating parametric design and off-line parametric design. The principles and features are given for primary method

variational geometry method

artificial intelligence method and constructional process method

in the same time

some representative methods

such as geometry reasoning based on knowledge

constraint promulgation based on freedom analytical

are introduced in artificial intelligence method. Main processes and features for off-line parametric design are given. In the end

the article analyzes the current research situation

problems in different parametric methods and research direction in the future work.