no wake up after sleep mode

My one year old Macbook does not wake up after sleep mode. After reboot I can exactly one time go into the sleep mode and wake-up. At the second time the Status Lamp stays on and the display remains black.
It does not depend on how the sleep mode was enabled (closing the book, menue, idle time)
I have also tried different sleep modes (sleep, hypernate) using the tool smartsleep. No help.
In various threads I saw that I am not alone with the problem. It seems that it happens to macbook and macbook pro also.

Professionals - I need your help!

Mac OS 10.5.7
Modellname: MacBook
Modell-Identifizierung: MacBook4,1
Prozessortyp: Intel Core 2 Duo
Prozessorgeschwindigkeit: 2.4 GHz
Anzahl der Prozessoren: 1
Gesamtzahl der Kerne: 2
L2-Cache: 3 MB
Speicher: 2 GB
Busgeschwindigkeit: 800 MHz
Boot-ROM-Version: MB41.00C1.B00
SMC-Version (System): 1.31f0
Sensor für plötzliche Bewegung:
Status: Aktiviert

http://www.mac-forums.com/forums/apple-notebooks/151525-no-response-mac-after-going-sleep.html

this is a good place to start.

Hope it helps
Clay

First thing to try is reset the System Management Controller (SMC). See the following Apple KB article: Link

Regards.