When I make programs in 32 bit I've no problems using the command push, but in 64 bit I got the error 'Out of range' many times.
Some examples:

push 0xFFFFFFFF
push 0x80000002
push 0x1FFFFFFFFFFFFFF1
push 0x123456789ABCDEF1

But when I first first write them to a register it works fine:

mov rax,0xFFFFFFFF
push rax
mov rax,0x80000002
push rax
mov rax,0x1FFFFFFFFFFFFFF1
push rax
mov rax,0x123456789ABCDEF1
push rax

I hope this bug can be fixed because writing them to a register takes a lot of my time and the compiled file keeps growing in size!

It is a limitation with the X86-64 CPU encoding, not a fasm bug. It is not possible to encode constants that don't fit into a 32bit signed value, with one exception when you load it into a register.

Notice that "mov rbx,[qword 0x123456789ABCDEF1]" also fails with 'Out of range'. There is no way to encode that within the instruction set.

To clarify:

• push 0x7FFFFFFF - okay, because sign extension gives 0x000000007FFFFFFF.
  
• push 0x80000000 - fails, because sign extension of 0x80000000 would give 0xFFFFFFFF80000000, which is not the right value.
  
• push -0x80000000 - okay, because sign extension of 0x80000000 gives 0xFFFFFFFF80000000
  

Assembles well with "use64" mov accepts imm64

Oops , yeah, i got confused with the memory address "mov rbx,[qword 0x123456789ABCDEF1]" is not encodable but "mov rax,[qword 0x123456789ABCDEF1]" is.

I edited it above so as to any avoid confusion.

Seems that fasm have a bug assembling "MOV RAX, moffset64"

Thank you all, I was confused because command push 0xFFFFFFFF and push 0x80000002 do work under 32-bit mode but doesn't under 64-bit mode. Will need to write them to the register first!

Works okay for me.

Yes, it works if "qword" specified. But why not without? Can you explain this?

because in that case it won't use RIP relative addressing, and so code is no longer position independent. If you want absolute address, you must be specific.

I thought relative can be only labels but not immediates, thanks for ansver btw

in 64bit mode there is RIP-relative addressing which is used in memory addressing by default. search board for "RIP relative addressing" and study