Golbin strongly advises against this. The danger, he explains, is that your quiet baby will miss out on the attention she needs. Before you focus on the screamer, make sure your quiet one is happy and settled. Moskwinski says a sleep schedule often depends on your babies' weight, not their age. Most multiples have to weigh 10 pounds or more before they sleep through the night.
Identical twins tend to sleep through at almost identical ages.
Fraternal twins' sleep patterns may be more independent, especially if they're very different in size or temperament. You can do this by keeping your babies as calm and quiet at night as possible, even during feedings. Keep their room dimly lit, and don't handle them during the night more than necessary. Feed them and put them right back to bed. This helps them learn that nighttime is for sleeping.