MPs from Newark, Boston and Cleethorpes have given their views
Boston's MP Matt Warman says Theresa May made the right decision to step down.
He says he's yet to decide who he'll support out of the likely contenders and those who've already declared.
However he feels it should probably be someone who's a longtime leave supporter.
Newark MP Robert Jenrick has tweeted "no one could question Theresa May's commitment, hard work and sense of service."
I'm disappointed to see her premiership end in this manner and wish her well.
Cleethorpes' MP says Theresa May's resignation was "inevitable".
Martin Vickers says she did the right thing to step down but he's warning whoever takes over will still find it difficult to find a solution to Brexit.