"step up measures" is a correct and usable phrase in written English.
This phrase is used to describe an increase in the intensity of something or to suggest that more active steps are being taken to address a certain situation. For example, "The government is stepping up measures to slow the spread of COVID-19."
On Thursday Austria announced it was ready to step up measures to discourage people from making the journey to Europe from countries such as Afghanistan, Iraq and Syria.
In China, weak external and domestic demand continued to weigh on the manufacturing sector in March, a survey released Thursday showed, raising expectations that the Chinese authorities would step up measures to revive economic momentum.
This echoes assessments from many other economists, many of whom expect the Chinese authorities to step up measures to contain bank lending, including nudging up interest rates again later this year.
At the government's recent "drought summit", water companies were urged to step up measures to reduce leakage and eliminate unnecessary water use.
The Netherlands has previously voted to delay the accession of Bulgaria and Romania to Schengen, arguing that both countries need to step up measures against corruption and organised crime.
Both the DPJ and LDP promise to step up measures to protect Japan's claim, the LDP says it will station Japanese officials on the islets - a move likely to incense Beijing.
Western counterterrorism officials have acknowledged the threat and European intelligence agencies have reportedly stepped up measures to track recruits.
Some expect inflation to moderate later this year, as the government steps up measures to lift production and distribution of food.
The government and its allies have stepped up measures against the country's drug trade, worth about $3 billion dollars annually, which experts say helps finance the Taliban.
Health officials say they are stepping up measures to stop the flu here, but some Aboriginal leaders and health activists say it is not enough.
The authorities under Abdel Fatah el-Sisi's regime have stepped up measures to counter atheism, blasphemy and other forms of so-called dissent.
