What's the Difference between Incident Management and Problem Management ?

An incident is an unplanned disruption of service.

whereas the problem is a cause of one or more incidents.

Incident is every occurence of the issue, Problem is a recurring incident.

Issue come suddenly it is called “Incident” and same issue occurred repeatedly it is called “Problem”.

The objective of the Incident Management Lifecycle is to restore the service as quickly as possible to meet Service Level Agreements. The process is primarily aimed at the user level. Problem Management deals with solving the underlying cause of one or more incidents.

Repetation of same Incident triggers Problem Management

An incident may not CAUSE a problem, but it might highlight one. A problem may cause an incident to occur, due to the underlying root cause.

Incident is an unplanned or unexpected service disruption. Incident management refers the actions required to solve the incident.

If the incident not solved, it causes problem.

incident-case . problem-systematic losses.

Incident Management deals with the immediate issue without necessarily understanding the root cause or fixing the root cause. Problem Management is the activity of finding the root cause of an issue that may well be persistent and formulating a plan to fix it or ensure it is mitigated by process so that it does not re-occur. 

Incidents  - are an event or occurrence 

Problem - It is a situation as unwelcome or harmful/difficulty/issue/trouble

Incidents are symptoms of Problems.

Incident Management as per ITIL is restorations of services ASAP with temporary or permanent fix. Problem Management   - Managing the unknown underlying cause of one or more incidents in an unplanned interruption or to reduce in quality of an IT service. a.k.a Root cause analysis

Problems lead to incident and not the other way round