Calderdale and Huddersfield was one of the only hospital trusts in West Yorkshire to meet A&E targets in December.
While Hull and East Yorkshire Hospital trust admitted or discharged just 81% of patients within four hours, Calderdale and Huddersfield met the target of seeing 95%.
Neither the Infirmary nor CRH has closed A&E or diverted patients to other hospitals during December or January.
A report shows demand at the trust is not rising sharply like some areas – up by only 1% on 2014/15.
So far in 2015/16 it has narrowly missed the four hour target in May and November but is on track to meet the target for the year.
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While most were treated within NHS guidelines, the latest figures show the trust has had more than 1,159 patients wait more than six hours.
Sixty-seven have waited over 10 hours.
Pressure on Leeds Teaching Hospital – which runs LGI and St James – forced the closure of its A&E once between Christmas and New Year.
Nationwide, figures from the College of Emergency Medicine show many hospitals struggled to meet the four hour standard in December, with the average figure below 90% for the whole of the month.