The situation on the construction market is difficult. One way to improve it can be to implement modern methods and techniques related to the lean management in construction. The article presents an algorithm supporting the selection of appropriate Lean Management tools and techniques for construction companies using AHP method. The efficiency of the proposed algorithm is illustrated by a case study consisting of a small construction company performing insulation works in a multifamily house. The presented approach is part of the broader research work carried out by the authors in the field of improving construction processes and verifying the efficiency and effectiveness of Lean Management methods and techniques construction works.