I am facing problem with linked feature.
When I am using wave geometry linker to take link from one assembly part (say Part-1) into another (say Part-2) and change the original feature in Part-1, the linked feature in Part-2 remains un-updated or get failed and feature created in Part-2 with the help of linked geometry remains un-updated or get failed along with all related features, then I have to update the linked feature separately in Part-2 in assembly and unsuppress the related features.

How can I solve this problem?

What version of NX are you using?
Are Part-1 and Part-2 in the same assembly? If not then they will not update unless Both files are open when you make the change.

I am using nx-4.

Yes, Part-1 and Part-2 both are in the same assly.

Without the actual model is is difficult to understand the problem. Are you sure the delay interpart update is not active? Tools - update - delay interpart

Yes, Delay Interpart not active.

Make sure your load options are set to load interpart data as well.