In a construction puzzle you have to build (assemble) a technical contraption. This may be a static object (such as a bridge) or a mechanical object (like a machine).

In a wider sense a construction puzzle is any puzzle

Puzzle

A puzzle is a problem or enigma that tests the ingenuity of the solver. In a basic puzzle, one is intended to put together pieces in a logical way in order to come up with the desired solution...

 where you have to assemble a given set of pieces in a certain way. Examples for these types of construction puzzles are the stick puzzle

Stick puzzle

Stick puzzles use sets of 'polysticks' which have to be assembled into two- or three-dimensional configurations.Polysticks are configurations of joined or unjoined thin 'sticks'...

s, many tiling puzzle

Tiling puzzle

Tiling puzzles are puzzles involving two-dimensional packing problems in which a number of flat shapes have to be assembled into a larger given shape without overlaps . Some tiling puzzles ask you to dissect a given shape first and then rearrange the pieces into another shape...

s and also some mechanical puzzle

Mechanical puzzle

A mechanical puzzle is a puzzle presented as a set of mechanically interlinked pieces.- History :The oldest known mechanical puzzle comes from Greece and appeared in the 3rd century BC....

s.

Types of construction puzzles

• some mechanical puzzle
  Mechanical puzzle
  A mechanical puzzle is a puzzle presented as a set of mechanically interlinked pieces.- History :The oldest known mechanical puzzle comes from Greece and appeared in the 3rd century BC....
  
  s are construction puzzles.
• some packing problem
  Packing problem
  Packing problems are a class of optimization problems in mathematics which involve attempting to pack objects together , as densely as possible. Many of these problems can be related to real life packaging, storage and transportation issues...
  
  s can be seen as construction puzzles.
• stick puzzle
  Stick puzzle
  Stick puzzles use sets of 'polysticks' which have to be assembled into two- or three-dimensional configurations.Polysticks are configurations of joined or unjoined thin 'sticks'...
  
  s is a sub-type of construction puzzles.
• some tiling puzzle
  Tiling puzzle
  Tiling puzzles are puzzles involving two-dimensional packing problems in which a number of flat shapes have to be assembled into a larger given shape without overlaps . Some tiling puzzles ask you to dissect a given shape first and then rearrange the pieces into another shape...
  
  s can be seen as construction puzzles.
• others

Examples

• Armadillo Run
  Armadillo Run
  Armadillo Run is the title of a transport puzzle video game created by Peter Stock. The game is currently in version 1.0.6, and is only legally available from the .-Objective:...
  
  
• Bridge Builder
  Bridge Builder
  Bridge Builder is a series of computer games developed and published by Chronic Logic. Bridge Builder is the first in the series, followed by Pontifex, Pontifex 2 , and Bridge It. The object of each game is to construct a bridge which a train may cross over, given a limited budget and available...
  
  
• Bridge Builder 2
• Crazy Machines
  Crazy Machines
  Crazy Machines is a puzzle computer game created by a FAKT Software GmbH. Crazy Machines based many of its ideas on The Incredible Machine series of games...
  
  
• Crazy Machines 2
  Crazy Machines 2
  Crazy Machines 2 is a Puzzle video game developed by for the Microsoft Windows platform. It is available in retail form and on Steam for download.-Gameplay:...
  
  
• Elefunk
• The Incredible Machine
• Pipe Mania
• World of Goo
  World of Goo
  World of Goo is a physics-based puzzle game by 2D Boy, an independent game developer consisting of Kyle Gabler and Ron Carmel, both former Electronic Arts employees, released for Microsoft Windows, Mac OS X, Linux, iOS, Android and WiiWare...