One photograph shows the singer, 55, kneeling down in the sand next to Lourdes, 17, as mother and daughter gaze out to sea. "Sunday Chillaxing……. #livingforlove," she wrote alongside the picture.
Madonna and Lourdes Leon: "Sunday Chillaxing……. #livingforlove,"
A second shows Madonna's 13-year-old son Rocco posing next to his grandfather Silvio. Rocco, dressed in a wetsuit, is stood with his arm around his granddad, who is clearly delighted to be spending time with the family.
"Papa Don't Preach! 2 O.G's on the beach," the star wrote alongside.
Rocco Ritchie and his grandfather Silvio Ciccone
A third photo of Rocco shows his carrying their little French bulldog Olga over his shoulder. "Hottest Chick in The Game! #olga," it was captioned.
Madonna's son Rocco Ritchie posing with the family dog Olga
Absent from the photos are Madonna's other two children, David and Mercy James, both eight.
Just last week, the singer shared two Instagram videos of David showcasing his musical talents.
Madonna shared this video of her son David dancing
"The boy can't help it! A little bathroom turn up!" she wrote next to a clip of her son, wearing a race car driver-inspired suit, shades and a hat, dancing to Will.i.am's Feelin' Myself.
She followed it up with a second clip of David playing the guitar and singing Clocks by Coldplay.
"When he ruled the world!" his proud mum wrote.
Madonna: "When he ruled the world"