I have a water leak in my new houses basement in my sump pump pit. The water 
slowly is rushing in from the side wall of the sump pump pit, and causes my 
pump to run a lot. Is there anything or any way I can stop this leak, even 
though water is constantly running from it?

As Darren notes in his Comment below, your sump pump appears to be doing 
approximately what it is supposed to do. Your main course of action may simply 
be to ensure that the pump continues to work reliably by keeping up with 
regular maintenance and considering backup power for the pump if power failures 
of more than a few minutes duration are at all likely.

In general, I consider sump pumps the last choice solution for keeping a 
basement dry. If possible, your house should have good surface grading to drain 
surface water away from the house, a good foundation drain, good waterproofing 
on the outside of the basement walls, and the roof should drain away from the 
foundation (i.e., gutters and downspouts should direct roof water well away 
from the house). If, however, it turns out that your basement floor level is 
below the local water table during at least some portion of the year (or even 
just during occasional periods of heavy rain), then even a well-designed 
foundation drain may fail. A sump pump may be your only solution. I'm not sure 
exactly what you mean when you say the "water SLOWLY is RUSHING in from the 
side wall of the sump pump pit," [emphasis mine] or how often your sump pump is 
running. Perhaps you should have the system checked by a reputable local 
plumbing contractor. If the sump is filling so fast that the pump is running 
most of the time, then it may be undersized for the load (perhaps you would do 
well to install a second sump and pump), or perhaps you need to be considering 
additional measures to reduce the source. Without studying the details of your 
site, it is difficult to make a specific recommendation. 

For general reading about sump pumps, I recommend a Canadian free informational 
website called Sump Pump Information:

http://www.sump-pump-info.com/index.html

For general information about keeping water out of basements, I suggest

"Basement Water Penetration Manual, Causes and Cures," by Wayne J. Falcone:

http://www.accurateinspection.com/wet_basements.htm

"April Showers Bring Wet Basements," by Larry Parrish, at the website of 
Parrish Construction:

http://www.remodelboulder.com/html/articlewetbasement.htm

Further similar information can be readily found with Google searches:

://www.google.com/search?q=wet+basements
://www.google.com/search?q=sump+pump+OR+pumps

My suggestion is that before you try to fix it, get a lawyer skilled in such 
matters and document the extent of the problem using top experts. Then demand 
of the seller that it be repaired within a reasonable time period at seller's 
expense. Then take it from there. Do anything you can to avoid having to fix it 
yourself, or at your own expense.

There's nothing in what you wrote that indicates you have a problem.
The pit and pump appear to be working as intended. In many areas such
as
suburban Maryland, periods of rain which extend for a few days
generate enough water to appear as seepage in sump pits.

I suggest check the routing of water from your downspouts. If it's not
directed away from the house, it could be the source of the water
running into your
pit. If that isn't a problem, I'd monitor the pump during dry periods
as well as wet. Since you're in a new house, have you been there long
enough to have
seen all possible circumstances?

It would also be worth your while to investigate an arrangement that
insures the pit will be pumped out even in the event of a power
failure.

This is a normal situation with a house with a basement.  The water is
coming from outside and being directed to the sump.  Nothing unusual
there, simply make sure you have at least 6inches of slope away from
your house in the first 10 feet around its entire perimeter.  As a
home builder I can say the last thing to do is get a lawyer, the only
one who wins in that situation is the lawyer and his kids college
account..........

Some more info you might find useful:

Understanding your sump pump:
http://www.ehow.com/how_16652_understand-sump-pump.html

Troubleshooting your sump pump:
http://www.ehow.com/how_16651_troubleshoot-sump-pump.html

Replacing your sump pump:
http://www.ehow.com/how_16649_replace-sump-pump.html