The Greek philosopher Plato wrote that the future architect should play at building houses as a child.[14] A construction set is a collection of separate pieces that can be joined together to create models. Popular models to make include cars, spaceships, and houses. The things that are built are sometimes used as toys once completed, but generally speaking, the object is to build things of one's own design, and old models often are broken up and the pieces reused in new models.

The oldest and, perhaps most common construction toy is a set of simple wooden blocks, which are often painted in bright colors and given to babies and toddlers. Construction sets such as Lego bricks and Lincoln Logs are designed for slightly older children and have been quite popular in the last century. Construction sets appeal to children (and adults) who like to work with their hands, puzzle solvers, and imaginative sorts.

Some other examples include Bayko, Konstruk-Tubes, K'NEX, Erector Sets, Tinkertoys, and Meccano, and generic construction toys such as Neodymium magnet toys