It was reported that this Huawei smartphone might cost CNY 2,000 (approx.Rs 20,000).
Huawei's application for the trademark of Harmony is dated 12 July 2019 and is currently under examination.
Huawei also announced to launch its own "Hongmeng" operating system (OS) to replace the Android OS.
Earlier, the company was targeting a release of the device in mid-2019 around April and June.
Hongmeng OS is expected to ship on nearly 225 million devices by the end of this year.
A Huawei executive says that the Hongmeng OS would be ready to go "in months."
The move comes after the Trump administration put Huawei on a blacklist last month.
Huawei reportedly trademarked three new names for its new operating system on 24 May.
Huawei was dealt a blow with Google's decision to partially cut off Huawei devices from its Android OS.
Huawei makes and sells a rather large number of phones, selling over a 100 million last year alone. However, the bulk of those sales come from within China and Huawei wants to expand its market to Europe and beyond.