The phrase "consecutive governments" is correct and usable in written English.
You can use this phrase to refer to several governments that occur one after the other in time. For example, "The past three consecutive governments have all been led by the same party."
And consecutive governments have delighted in throwing quangos into the flames.
I wish consecutive governments would stop tinkering with our children's education based on ideology without real research to back it.
Consecutive governments have crowded out private funding and the sector now prostitutes itself to the state, he went on.
If Ms Corby is sentenced to death, it could severely damage relations between Indonesia and Australia, which consecutive governments have been dedicated to strengthening.
Grant's closeness to consecutive governments is reflected in his role as trade envoy for the prime minister, and his latest appointment as the chair of the NHS commissioning board – a controversial body invented by Andrew Lansley's reforms.
Consecutive governments have continually failed to sort this out".
She will head the fourth consecutive government of the centre-left Concertación coalition.
In the past six months, when RBS received £33bn in consecutive government bail outs, it was also involved in financing loans to coal, oil and gas companies worth nearly £10bn (£9,941m) — over a quarter the amount the bank has received from the tax payers.
Figure 1 shows homicide rates computed over 4 consecutive government periods.
El Sistema's perceived success has been such that eight consecutive Venezuelan governments have poured money into it throughout the years.
It was the first time since 1945 that a Canadian party had won three consecutive majority governments.
