"The MLAs must be provided adequate security cover," Shastri said addressing a press conference.
INLD MLA Bharat Singh was shot at on Saturday outside his office in Dhichaaun Kala of south-west Delhi by four people who have been arrested by police.
Shastri said the growing apprehension of the MLAs about their security have already been conveyed to Delhi Police Commissioner B K Gupta.
He said five MLAs had written seeking personal security officers and he has already forwarded their representations to Lt Governor Tejendra Khanna.
In a discussion in the Delhi assembly on the law and order situation, Chief Minister Sheila Dikshit on Tuesday had also demanded security cover to the MLAs and even offered to incur the expenses for it.
On BJP's allegations that he breached protocol by going to residence of Dikshit to attend a meeting, Shastri said he had only asked the chief minister to call the police commissioner to discuss the "serious issue" of security of MLAs.
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"To ensure security of the MLAs, I am ready to go anywhere. The issue is very important and the meeting was held at Dikshit's residence as government offices were closed on Saturday," he explained.
On the day of murder attempt on Singh, Dikshit had a meeting at her residence to discuss the issue of security cover to the MLAs which was attended by Shastri and the police commissioner. MORE