I have installed and currently working on PC with both these things
installed.
No problems reported.

I also installed the both,first the SPS but once i installed the
MS project  2002 final release(there was no problem with the beta
version) the share point has die, the console root doesn't appear,
an error occured when i try to access it from the browser and even
the MS solution for the ERROR did not affect.

No idea about Project 2002, but its working quite fine with Project
2000.

Try restarting the server or even installing SP1 for SharePoint.

What version of Project 2002 have you installed?? The reason I ask is that
I'm interested in Project server 2002, and as I understood it most people
would install  this on SQL server 2000, which I thought could happily
co-exist with SPS?

We installed the release version.

Actully as i understood that the project  2002 has the SPTS icluded
(built in), if that is write this will be the reason of my problem
because the SPS and the SPTS can't be in one machine.

I'd forgotten about the Sharepoint team services aspect as well. Hmm, guess
I'll have to re-think!

Sharepoint Portal Server and MS Project 2002 Server should not be
installed on the same machine. The reason behind it is that MS Project
2002 comes bundle with Sharepoint Team Services, installing both SPS and
STS will cause some known problems (Discussion and Supscription in
particular). Although this could not be done for test purposes, it is
not recommended to have both products on the same box. One good rule of
thumb is that Sharepoint Portal should be always be installed on a
standalone box.

I've loaded the trial version of project  server 2002 and it doesn't seem to
have spts built in, you can reference it off one of the tabs. Maybe once you
enter the server's name (for the spts box) that kicks off code on the
project server box  and this causes the problems. For info I asked Microsoft
why sps  couldn't be integrated with Project server 2002 and only spts and if
it was planned in the future. They didn't have a reason but said project
server 2002 would be integrated with SPS in the future and not the other way
round.

The information I saw relating to the 'Microsoft solution for enterprise
project management" would also support this.
http://www.microsoft.com/solutions/epm/
I assume this is offering customised solutions specific to Project
management but does anyone have any concrete info on this?

I have both project  2002 and SPS on the same server and have not had any
problem. Project 2002 does come with STS but you have the option of not
installing STS during the installation wizard process. I had to
installed SQL 2000 first, then Project 2002 and then SPS. As of right
now, Project 2002 does not integrate with SPS, therefore if one of your
requirements is to have documents attached with a project then it's best
to have Project 2002 and STS on a different server. I hope this helps.

Just to add my two cents: I installed MS Project 2002 server on the box  I
use for SPS and when I did that several aspects of SharePoint became
disabled. Once I got MS Project 2002 back off the server, it took some time
to repair the damage (which means in this case reestablishing settings via
IIS mostly having to do with permissions).

For example, the category Web part died for a time until I could get the
settings back to normal. Also, documents that had been checked out, edited,
and republished could not, after the install/deinstall of Project 2002, be
found via the search function (so I'm guessing they were not indexed). It
took some time to return all of this to normal.

It makes sense to install  Project 2002 on a clean box, after installing SQL
Server and the OS. If you need to search the Project store as a resource for
SPS, can't that been done? Whatever Web pages Project produces should be
available to SharePoint like any other HTML resource.