I am a dependent spouse of a worker who is covered by Employees’ Pension Insurance system. Do I need to pay National Pension contribution?

No. If you are a dependent spouse of a worker covered by Employees’ Pension Insurance system, you are classified into the Category III insured person under National Pension system, then you do not need to pay any National Pension contributions independently.
Your spouse should report to a JPS branch office through his/her employer, that you are a qualified dependent spouse.
For more details, you can ask your spouse’s employer or visit: National Pension System (Coverage)