The correct declaration of the main method is "static public void main(String []a)". In Java, the main method is the entry point of a program and it must be declared as public, static, and void. The "public" keyword allows the method to be accessed from outside the class, the "static" keyword allows the method to be called without creating an instance of the class, and the "void" keyword indicates that the method does not return any value. The main method also takes a parameter of type String array, which allows command-line arguments to be passed to the program.