Hospital chiefs have confirmed no parents were forced to travel outside of Huddersfield or Calderdale in the past year because the maternity wards were short of beds or staff.
But they have admitted there was one occasion where the service was suspended for three hours.
A spokeswoman for Calderdale and Huddersfield NHS Foundation Trust said no pregnant mums had been redirected or transferred outside the region during the suspension.
The news comes as figures released by the BBC reveal that just over half of the 121 hospital trusts in England admitted they had to close maternity services for a time in 2013.
The main reasons for temporary closures were lack of staff and beds.
Many of the closures lasted a few hours but some were closed for more than 48 hours.
Research in 2008 revealed Nottingham University Hospitals NHS Trust was forced to close its maternity ward 97 times in one year, while Leeds Teaching Hospitals was the second worst offender with 89 closures.
The Royal College of Midwives said there was a shortage of 4,500 midwives because the birth rate is at its highest since the early 1970s.
Chief executive Cathy Warwick said: “Birth is unpredictable and sometimes units get a rush of births that is unavoidable and cannot be planned for.
“However, if units are regularly and persistently having to close their doors to women it suggests there is a serious underlying problem.”
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