The phrase "a uniform message" is correct and usable in written English.
It can be used when referring to a consistent or standardized communication that is conveyed to a group or audience.
Example: "The company issued a uniform message to all employees regarding the new policy changes to ensure everyone was on the same page."
Alternatives: "a consistent message" or "a standardized message."
Such works of art are bound to hang out together, a uniform message from our fin-de-siècle decadence.
Also, a tangle in December over extending the payroll tax cut pitted House Republicans against Senate Republicans, who argue that their House colleagues need to settle down and find a uniform message with them.
On Wednesday, January 18 , 2012 websites all over the Internet covered their homepages in a uniform message.
Hitler's Minister for Armaments, Albert Speer, recounted the effects of the use of new technology to deliver a uniform message in his trial in Nuremberg.
All materials will be designed to transmit a uniform message consistent with the PEC.
A uniform message of EBF to all women regardless of HIV status prevents unwanted disclosure of HIV status and may reduce self-recrimination that HIV positive women feel towards themselves [ 34].
Those who build the most effective campaigns will be those who craft a single uniform message that is able to transcend the various media taking full advantage of each channel's unique qualities.
Many participants feel that spreading a uniform EBM message by all actors in the field of health care is very important and that this specific approach should also become a necessity for the commercial organisations.
A standardised outbreak definition can help to send uniform messages to inform the general public and make the outbreak analysis comparable within and between countries.
The Nazi party mounted a relative novelty -- gramophones -- on vehicles and used the public's attraction to them to broadcast a uniform political message, presaging today's AM talk radio jocks and "echo chambers" of right-leaning news media and think tanks that use technology to repeat uniform messaging to create "dittoheads".
Presentation styles of theme messages were standardized to ensure uniform messaging across sites.
