In the twitter, Tyler, 37, is seen lovingly gazing at her two-month-old son, who is wearing a black-knitted onesie with a white bunny on the back.
The 'Leftovers' actress captioned the picture, "Beautiful family weekend in the sun @davidgardner76 @tabithasimmons love you."
This is the first time that Tyler has shared a snap of her son.
However, the proud mother has not been shy of sharing her pregnancy journey, posting pictures of her growing baby bump on Instagram and Twitter.
Tyler and her partner David Gardner welcomed Sailor in February. She is also mothetr to son Milo, whom she gave birth to while married to Roysten Langdon.