Due to multiple factors, expect to potentially pay more when booking in August. For low rates, March can be a great choice for travel to Israel. Flights to Israel from Kuala Lumpur in March are about RM 5,249 on average during March, but can be found for as low as RM 2,657.
Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Kuala Lumpur to Israel as you normally would.
Consider Emirates, Etihad Airways or KLM when booking your flight. These represent the most popular airlines when flying from Kuala Lumpur to Israel.