PurposeThe purpose of this study is to ascertain and list the most effective management strategies in efficiently handling the project complexities to enhance the performance of the project.Design/methodology/approachTo fulfill the aim of this study, a comprehensive literature review was conducted, and the qualitative Delphi technique in two rounds was applied. Participants of the Delphi technique consisted of 12 subject matter experts (SMEs) with cumulative experience of 250 years in working in construction projects. In the first round of the Delphi technique, SMEs were asked to provide complexity management strategies to address the complexities due to 37 complexity indicators (CIs) under 11 complexity categories. In the second round of the Delphi technique, SMEs identified the top three management strategies for each of the 37 CIs.FindingsThis study collected the outcome of the two-round Delphi technique and based on the output developed the list of strategies to manage complexities related to each indicator. For example, establishing a well-informed governance team, assigning a Project Manager (PM) when the number of projects is more than one in an organization, and assigning a PM efficient enough to communicate with higher authority effectively will help in managing complexity that arises due to faulty assessment of the influence of a project on the organization’s overall success.Originality/valueThis study will help practitioners in effectively managing the project complexities, and thus will reduce the monetary loss associated with project complexities.