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The singer - who gave birth to daughters Finley and Harper three months ago - says she and husband Michael Lockwood have struggled to adjust to the new additions to their family.
She revealed: "When we brought the babies home it was a complete and utter shock.
"Everything is so freaky. Are they breathing? Are they OK? They're so fragile. That freaks me out. Michael was freaked out about dropping them."
Lisa Marie - who also has two teenage children, Riley, 19, and Ben, 16, from a previous marriage to Danny Keough - says the twins are already displaying different personalities, labeling Finley "full of p**s and vinegar".
She added to Hello! magazine: "Finley is a little clone of me and Harper is a little clone of Michael, looks and personality wise.
"Little Harper, for 'harp' is this little sweet, calm, dainty baby. And Finley, which is Scottish for 'fair warrior', is also an angel but a bit more rugged. She is ferocious, funny and full of p**s and vinegar, as they say."