Inside Christie Brinkley's Tropical Family Vacation

— -- Christie Brinkley wanted to make sure that her daughter, Alexa Ray Joel, had a great birthday, and from the looks of it, she succeeded.

The supermodel whisked away Joel and others for a fun-filled vacation in Parrot Cay.

"Time to get ready to celebrate!" Brinkley wrote on Instagram. "#happybirthday @alexarayjoel @sailorbrinkleycook @alaiapierre"

Joel, Brinkley's daughter from her marriage to singer Billy Joel, turned 29 on Dec. 29. Brinkley also has a son, Jack, from her marriage to Richard Taubman, and a daughter, Sailor, from her marriage to Peter Cook. Sailor joined her family on the vacation.

"Happy birthday to my big lil sis," Brinkley-Cook wrote on Instagram. "#greatestlivingcoconutandiloveyou"