What should be the formal position for the person hired to define, implement, monitor implementation and improve the PMO framework in a company?

Ideally, you want the position to report to a CxO, preferably the COO.

Okay first of all , out of the three types of PMO, Supporting , Controlling and Directive, this job profile fits the leader of a Directive PMO .

A Directive PMO actually "takes over" the projects by providing the project management experience and resources to manage the project.

As organisations undertake projects, professional project managers from the PMO are assigned to the projects. This injects a great deal of professionalism into the projects, and, since each of the project managers originates and reports back to the directive PMO, it guarantees a high level of consistency of practice across all projects.

This is effective in larger organisations that often matrix out support in various areas, and where this setup would fit the culture.

So therefore in this case I would propose that the leader of this new Organisation be called the PMO Director .

The Director would have 1) Program Managers working underneath who will manage programs where similar projects would be grouped into the one bucket

2) Project Managers and Project Coordinators will report into Program Managers

3) There will be PMO Resource coordinator(s) working across programs

I agree with Sromon the PMO should have a VP title. Depending on how many people you are hiring maybe a director and a couple of Senior Project Managers could round out the department.

If you want to be really ambitious, I'd go with CPO - Chief Project Officer.

Kiron

First of all, the PMO must be created because it will solve an strategical problem. Then, the first thing to do is to define if portfolio/program/project management functions will be a component inside the organizational functions and then a strategical component. Second, if you define that those functions must exists then you must define if a physical business unit (a PMO) deserves to be created or those functions will be located into other physical business unit. After your organization decided all that put the name you want. For example, "The Matrix" to the business unit and "Neo" to the head of that office.

Kiron is right, but alas these roles are very few and far between. Invariably it's the CIO or COO that gets involved in this, or a VP of some sort.

Thank you Sergio. Very good point on the fit of this position with the strategy ! You noticed well that program and project management function is a strategic one since the company needs to increase its ability to stay in market (control plus predictability), but also to enter new markets outside Romania. Therefore the position is strategic.
I agree that a name is just a name, in the end the name is a convention made and understood by the interested stakeholders; however, in Romanian culture, this name should convey enough formal authority to support the endeavor of a PMO implementation. It is with great interest that I read the answers and see the general practice. Thank you again!

Thank you Kiron. I have to admit that I have never heard so far about a Chief Project Officer. That perhaps the practice of project management in Romania is only now maturing. By analogy with a Chief Operating Officer I may identify the area of responsibility, however I would have to think about the border between the COO and a CPO. How would you define each ones area of responsibility and how would you draw the border?