The Emmerdale star confirmed that she has named her son Freddie George James Shepherd.
The actress gave birth to her first child with husband James Shepherd on Wednesday (August 1).
"We have a beautiful baby boy born this morning and we are all doing really well," she told Hello.
Talking about how they hope to raise their first child together, she said: "The most important thing for both of us as parents will be making sure our child feels loved.
"We think it is important to be strict - not in a horrible way, but strict with ourselves, too, in that we don't spoil our child."
Anderson explained that she plans on returning to Emmerdale as feisty barmaid Alicia Gallagher in the near future, while her husband will continue to work from home as a financial services consultant.
She said that the arrangement was so that he could spend more time with his wife, but added: "We also thought that, when we had a family, it'd be great to always have a parent at home."