BJP, however, rejected the criticism.
AAP and Congress said announcement of bypolls in Delhi clearly indicated that BJP was "scared" to dissolve the assembly and hold fresh elections.
"BJP is running away from elections in Delhi. AAP is fully ready for the byelections.
"I am really really amazed that despite tall claims of 'Modi wave', why is BJP so scared of calling elections in Delhi?," AAP leader Arvind Kejriwal tweeted.
AAP and Congress have been demanding dissolution of Delhi assembly to pave the way for holding of fresh polls.
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Delhi Congress Chief Spokesperson Mukesh Sharma said announcement of byelections "reflected" BJP's reluctance to hold fresh polls.
"The Home Ministry has not recommended dissolution of the assembly as BJP is reluctant to face election. If there has been a Modi-wave, then why the party ias shying away from facing the polls," Sharma said.
He reiterated Congress' demand of immediate dissolution of the assembly and said it will not allow BJP to form a government adopting unfair means.
"Elections must be held in Delhi immediately. There is no other option to end the political uncertainty," he said.