The Left party also extended its condolences to families of those killed following the quakes.
"The Polit Bureau expresses deep sorrow at the devastating impact of the earthquake in Nepal. People of India stand in solidarity with Nepalese people in this time of calamity. The CPI(M) calls upon Central government to immediately provide all necessary assistance to Nepal.
"Many parts of India have also been affected by the quake. Reports have come in of scores of people having died in Bihar, UP and West Bengal and damage in many other states. The Government must rush help to all the affected areas in India," the party said in a statement.
The quake, at 11:41 am IST, had its epicentre in Nepal and flattened houses, created huge craters and cracks on roads in Kathmandu.