A sheep and beef farm near Masterton was the third North Island location identified last week. There were also two new sites in the South Island - a dairy farm near Ashburton and a Ranfurly beef farm.
All three farms were traced through animal movements from other infected properties, the Ministry for Primary Industries said.
''We expect to find further infected properties as the extensive tracing of animal movements continues,'' Thursday's 88th update on the outbreak said.
A total of 47 properties have shown positive for the disease.
Three farms near Waimate have had their infected property status lifted, having completed the decontamination and stand-down period after their cattle were culled.
The ministry customised movement plans for affected farmers if they needed to shift herds for the start of the new dairy season on June 1.
Agriculture Minister Damien O'Connor said the ministry would also help with feed problems caused by the bacterial cattle disease.
Some farmers were stuck with winter crops or pasture their animals could not access because of the movement controls imposed by the ministry, and some had livestock they had never planned to retain on their properties for such a long time, so there had been no allowances made for their feed needs.
More flexibility would be given so farmers could move stock to where the grass was, while still ensuring the infection was not able to spread, Mr O'Connor said.
The ministry has asked anyone with surplus feed that could be shared with affected farmers to email its response team at MBovis20177Liaison@mpi.govt.nz
A ministry spokesman told Central Rural Life its Oamaru and Ashburton field headquarters were ''mostly dealing with surveillance, and cleaning and disinfection of depopulated properties''.
The number of people handling compensation claims, which increased recently from 22 to 30, was ''expected to double in size as the response progresses''.
The ministry had received 133 claims received by June 1, 76 of which were ''at various stages of assessment or approval'', the ministry said.
Prime Minister Jacinda Ardern, Mr O'Connor, and rural industry leaders visited Morven sharemilkers Leo and Maite Bensegues the day after the Government announced it would continue trying to eradicate M. bovis.
The Bensegues had 950 cows and 222 young stock culled from their South Canterbury coastal property, but there were 200 heifers not infected. They have bought replacement cattle and wanted to get on with farming, they told the delegation.
Having spoken out against the ministry at a public meeting in November, Mr Bensegues now said he was ''pretty happy'' with the compensation it had paid out.
''There's no way you're going to be worse off.
''Honesty is going to go a long way. Me and my wife are an example of that.
''It was hard in the beginning, but we did it.''
