The 'Bad Boys' singer – who has had a hectic year following the release of her chart-topping debut album 'Overcome' – is treating her loved-ones to a tropical break to thank them for their support while she launched her pop career.
A source said: "Alexandra is now seeing the fruits of her labours. Her family have always supported her and this is her way of saying thanks."
The 21-year-old songstress will jet her mother Melissa Bell, brothers and other members of the family over to the exotic holiday destination.
She has reportedly also invited her previously-estranged father David Burke.
Alexandra was just six years old when her dad left the family and was brought up by her mother alone.
However, the pair were reunited last year as Alexandra rose to fame when she won British reality singing show 'The X Factor'.
The holiday will provide Alexandra with a much-needed break ahead of a busy 12 months.
The singer recently revealed she is planning to make changes to her debut album 'Overcome' in order to try to crack the US market next year.
She said: "I'd love for America to go well next year. I'm working on an American version of 'Overcome'.
"I'm writing a few things for it. Ideally I just want to lay down some ideas, present it to the label and then see what happens. I don't think we're going to change it that much for the American market as the videos will definitely stay the same."