Respected Sir,
With due respect kindly provided me update drivers for my Realtek RTL8129 PCI Fast Ethernet NIC.I currently installed driver is RTL8129 file version:5.368.0928.1999 released date:7/15/1999 not digitally signed.I try to download from intel download center but I do not found it.I also contact realtek but they unable to help me and I not found any updated driver on realtek website.I shall be very thankful to you for yours this act of kindness.

Thanking You

Check Windows update.
As this is an OLD piece of hardware there may well NOT be an updated driver for it.
After all if it's working why update it..

Even when I connect the Lan cable to cpu show me messge on local area network network cable was unplugged and red cross sign is displayed on local area network I unable to content some time local area connection shows limited or no connectivity.

May simply be a hardware failure.
They don't last forever.