The Highway Agency is advising drivers to avoid the M62 between Huddersfield and Brighouse.
An amber alert has been issued warning drivers of high winds, particularly affecting road users driving high-sided vehicles, riding motorcycles or towing caravans.
Forecasters are predicting gusts of between 60mph and 65mph in some parts.
A speed restriction of 40mph has been put in place between junction 23 Huddersfield and junction 25 Brighouse due to the strong winds.
The speed has also been restricted to 50mph between junction 21 at Milnrow and junction 22 at Rishworth Moor because of the weather.