Given a Date dt you have many possibilities:
1: You can try the Calendar class for that:
Date dt = new Date();
Calendar c = Calendar.getInstance();
c.setTime(dt);
c.add(Calendar.DATE, 1);
dt = c.getTime();
2: You should seriously consider trying the Joda-Time library, because of the various shortcomings of the Date class. With Joda-Time you can do the following:
Date dt = new Date();
DateTime dtOrg = new DateTime(dt);
DateTime dtPlusOne = dtOrg.plusDays(1);
3: With Java 8 you can also try the new JSR 310 API (which is inspired by Joda-Time):
Date dt = new Date();
LocalDateTime.from(dt.toInstant()).plusDays(1);