Are there any special certification in construction project management other than PMP?

Sir,

Yes there are other two important certificates :

The American Academy of Project Management has modeled this certification after the professional licensure model that many professions such as pilots, engineers, doctors and lawyers follow. The AAPM focuses on professional project managers, but also includes those pros with business and technical management responsibilities.

Requirements: Three years of project management experience and training. Waivers are available for professionals holding a master's degree, with other qualified training and experience, the military or project management instructors.

Certified Project Manager CPM

This is an international, globally accepted and recognized project management certification, though it is mostly popular in the Pacific Rim region. It's focused on skills like communications, finance, integration, information technology, marketing management, human resource management, risk and issue management, and quality management.

Requirements: Bachelor's degree or above, or global equivalent; or certified project professional certification, plus a minimum four years project or program management experience (5,000 hours leading and directing projects), 36 contact hours of CPM project/program management training and must pass the CPM exam.