If so then you probably have not caused any damage.
That said, it might be good practice not to power-down/turn-off the computer via the surge protector but instead power down (or shut down) the OS as normal, (eg in Windows this would normally be via Start > Shutdown), then turn off the tower's supply by turning off the PSU's switch.
No need to turn off the surge protector.
That would be my procedure
Hi all, i think I damaged my computer. My old tower pc did not have a power on/off swtich, so whenever I would need reattach the power supply cord I would plug it first into the shut off surge protector, then I would plug the other end into the PSU and I would turn on the surge protector. However, I just got a new tower pc and I connected the power cord to the shut off surge protector and I connected the other end of the power cable into my computer and I turned on the surge protector . However, I didn't realize that this power supply unit had a on off switch on the back. Did I damage my computer by having the PSU on/off switch set on "on"when I turned on the surge protector ? Thanks