I think I found something which looks like an egg. Its hard like stone, and quite small. Its white, found on the sea shore after the storm, 2 days ago.
Thanks guys for help. My camera is really bad so the pictures are not perfect, but if you think
that this might be egg, I will try to do some more, closer and better images.
Well, from what we can see in your photos, it certainly looks to have suitable symmetry and shape for an (fossil) egg.
A fossil egg can be a fossil egg or it can be a cast. If the latter, there would be no shell to look for. There appears to be no shell in your specimen, hence if it is a fossil egg, it would likely be a cast.
But those cracks worry me. They are open (not mineral filled; veins), and they have delicate structure preserved at some of the edges - hence they are probably recent. They might have been caused by the storm smashing rocks about; they don't look like percussive damage, but that remains my best guess.
The slight indentation near one end is, I think, irrelevant; the internal structure it shows is of no consequence.
If there is a history of fossil eggs in the area, that would be worth pursuing.
In the absence of that knowledge, on balance, I think it is just a cobble or pebble (you don't tell us its size).
Don't be disheartened; keep looking.