The best time to visit these exhibits is during the weekday mornings or shoulder season (April-May and September-October). The museum is busiest during the weekends, so weekday afternoons could offer you relief from the crowd and offer enough time to explore. Arrive at the museum at 10:00 am, head to the O.S.S. Hope exhibit, the most popular one, and work your way down from there.
If you enjoy visiting a place without being in long queues and bustling crowds, the best time to visit the museum will be November - mid or early December or the first half of March. Though the weather in Dubai is at its best in late December, January, and February, these months are the most crowded, as crowds from different parts of the world flock excessively. During this time, the Dubai Shopping Festival is being conducted, so the crowd mostly plans to visit around this time to enjoy shopping. Also, it is suggested that you do not plan your trip to the museum during the summer, especially in July or August, as the heat will be unbearable.