Jammu and Kashmir, Haryana, Chandigarh, Delhi, western Uttar Pradesh and sub-Himalayan West Bengal and Sikkim are likely to witness similar weather conditions.
They have also put search and rescue teams on standby.
Water and power utilities to also keep restoration teams ready.
The dust storm is said to have damaged several houses, uprooted trees and brought down electric poles in several places.
The states have been hit by severe thunderstorms and dust storms, leading to the closure of government and private schools in the region.
The Police has put the field formulation on alert to remove obstacles like fallen trees and soft structure for the smooth flow of traffic in the city. Wind-speed is expected to be around 50-70km per hour, compared to over 120km per hour in the thunderstorm on 2 May.
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Following the IMD warning, the Delhi Metro has made a decision to exercise extreme caution in running of trains.
According to Delhi Metro Rail Corporation (DMRC) movement of metro trains will remain normal if the range of wind speed is between 70-90 kmph, but trains will enter with a restricted speed of 40 kmph or less at the platforms on the elevated section. The IMD issued a high alert in several northern Indian states, including Rajasthan and Uttar Pradesh and Delhi on Tuesday.
The Delhi Government has declared that all evening schools (second shift which starts from the afternoon) will remain closed on Tuesday following weather warning.
Moderate to light rains occurred at places in Jodhpur, Bikaner, Jaipur and Ajmer divisions while the weather remained dry in other divisions, according to the Met department. Six flights landing in Delhi and one flight which was to depart were delayed due to the storm. The advisory said that commuters should "keep themselves updated about weather conditions and plan their journey accordingly".
Apart from the northern states and west Madhya Pradesh, dust-storms with gusty winds are also likely to hit isolated places in north-eastern states, including Assam, Meghalaya, Nagaland, Manipur, Mizoram, Tripura and also Bihar.