The ban had been due to come into force for larger retailers on October 1, but because of an appeal by Imperial Tobacco it has been held up.
The Scottish government said that the appeal hearing later this year would not give retailers enough time to prepare for the ban.
Public health minister Shona Robison said: "The ban on displaying tobacco products in shops is being introduced to make cigarettes less attractive to children and young people.
"We remain fully committed to this policy and are continuing to work with the retail industry to prepare for implementation.
"However, the ongoing legal challenge means that an October start date is now unrealistic. We will announce the new implementation date as soon as possible.
"We are committed to doing all we can to improve the nation's health and banning the display of tobacco products in shops will help to discourage a future generation of smokers."
The Association of Convenience Stores has called on English ministers to delay implementing the ban here, saying "confusion and uncertainty reign" in the issue.
Westminster is still reviewing the display ban legislation brought in by the previous government and faces four separate legal challenges.
ACS chief executive James Lowman said: “As ministers prevaricate on policy in England, and courts in England and Scotland consider legal challenges, uncertainty prevails and the retailer suffers. We welcome the decision of the Scottish health minister to delay the implementation of a display ban, and we urge ministers in England and Northern Ireland to follow suit.
“The delays and lack of clarity are making the situation impossible for retailers across Britain, it is now time for a delay.
“As time passes evidence from Canada and the Republic of Ireland are showing that bans are having no impact on youth smoking rates. Having decided to delay implementation ministers have the opportunity for a rethink that will focus policy on measures that will actually reduce youth smoking.”