It would be helpful to know what type of punishment(s) you are referring to.
It is not unusual for a conviction for a crime to include more than one form of penalty to be served or performed at the same time. Persons convicted of traffic violations, for example, may have to pay a fine in addition to having a restriction placed on their driving authorization or being required to complete a course of drivers' training classes. Persons may be responsible for doing community service work for a given period of time in addition to paying a fine or reporting to a parole officer periodically.
For persons commiting more serious offenses, it is not unusual for the judgement to set multiple prison terms to be served simultaneously - at the same time.