Is pension income household income?

This will vary from country to country, and from region to region. It will vary yearly and throughout the year, and will be different for different social and financial classes. Strictly speaking,...

Pension income are those income that the employee received after their retirement from job.

The short answer is "no." Refer to the following web site in the Related Link below, See Rule 7.

No

An income is the money you earn for providing a service.