The Robot Chicken actor and Grant wed in 2010 in Northern California, but Green recently joked that he and his wife don't feel the need to complicate their relationship by becoming parents.
"[It's] a lot of pressure, no plans," Green joked to Us Weekly.
"People have just gotten used to certain cultural cycles and they can't wait for the end of them."
His wife Grant added: "The day we got married, people started asking when the kids were coming."
Green went on to joke that he and wife Grant are still very much in the "honeymoon phase" of their marriage, quipping: "We still like each other."
Grant and Green got engaged on New Year's Eve in 2009.
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