At least 30,000 civilians have fled into southwest China, while tens of thousands more are believed to have been displaced on the Myanmar side of the border.
The Myanmar Red Cross has come under attack twice in recent days while ferrying civilians from the Laukkai area towards the Shan town of Lashio outside the conflict zone. The incidents have drawn condemnation from the United Nations.
Five people were wounded when a vehicle for the aid group, which is separate to the International Committee of the Red Cross, came under fire Saturday -- just four days after an earlier attack on a humanitarian convoy left two injured.
Myanmar has blamed the rebels for the assaults on the aid vehicles -- a claim denied by the Myanmar Nationalities Democratic Alliance Army (MNDAA), the main Kokang insurgent group.
Representatives of the MNDAA could not immediately be reached for comment on Tuesday.