The Imps largely dominated the first half with Jordan Maguire-Drew and Nathan Arnold forcing veteran keeper Barry Roche into stunning saves while Matt Green dragged a good chance wide of the far post.
However, the Shrimps also threatened with only a last-ditch clearance from Sean Raggett denying Garry Thompson a goal and Aaron McGowan hitting the bar with a stunning 30-yard effort.
And it was Jim Bentley's visitors who took the lead in the 53rd minute when Aaron Wildig, having failed to convert a much easier chance two minutes earlier, volleyed home superbly from the edge of the box.
Matt Rhead, Raggett and Matt Green went agonisingly close to equalising but were denied by excellent goalkeeping, good defending or poor finishing.
However, the Imps finally levelled in the 70th minute when Green broke into the box, held off a defender and fired home from an acute angle.
Report supplied by the Press Association.
Match ends, Lincoln City 1, Morecambe 1.
Second Half ends, Lincoln City 1, Morecambe 1.
Attempt saved. Sean Raggett (Lincoln City) header from the centre of the box is saved in the centre of the goal.
Corner,  Lincoln City. Conceded by Aaron McGowan.
Foul by Sean Raggett (Lincoln City).
Michael Rose (Morecambe) wins a free kick in the attacking half.
Attempt saved. Michael Bostwick (Lincoln City) header from the centre of the box is saved in the centre of the goal.
Corner,  Morecambe. Conceded by Robert Dickie.
Robert Dickie (Lincoln City) wins a free kick in the defensive half.
Foul by Michael Rose (Morecambe).
Substitution, Morecambe. Andrew Fleming replaces Aaron Wildig.
Substitution, Lincoln City. Harry Anderson replaces Jordan Maguire-Drew.
Substitution, Lincoln City. Ollie Palmer replaces Matt Rhead.
Delay in match Dean Winnard (Morecambe) because of an injury.
Attempt saved. Matt Rhead (Lincoln City) right footed shot from a difficult angle on the right is saved in the centre of the goal.
Attempt saved. Patrick Brough (Morecambe) left footed shot from outside the box is saved in the centre of the goal.
Corner,  Morecambe. Conceded by Michael Bostwick.
Attempt missed. Garry Thompson (Morecambe) header from the centre of the box is close, but misses to the left.
Corner,  Morecambe. Conceded by Sean Long.
Substitution, Morecambe. Steven Old replaces Vadaine Oliver.
Foul by Michael Bostwick (Lincoln City).
Michael Rose (Morecambe) wins a free kick in the defensive half.
Foul by Michael Bostwick (Lincoln City).
Vadaine Oliver (Morecambe) wins a free kick on the left wing.
Attempt saved. Nathan Arnold (Lincoln City) right footed shot from the centre of the box is saved in the bottom left corner.
Attempt saved. Matt Rhead (Lincoln City) header from the centre of the box is saved in the bottom right corner.
Substitution, Morecambe. Rhys Turner replaces Kevin Ellison.
Delay in match Aaron McGowan (Morecambe) because of an injury.
Goal!  Lincoln City 1, Morecambe 1. Matt Green (Lincoln City) right footed shot from a difficult angle on the right to the bottom left corner. Assisted by Nathan Arnold.
Attempt missed. Garry Thompson (Morecambe) header from the right side of the box misses to the left.
Corner,  Morecambe. Conceded by Alex Woodyard.
Foul by Alex Woodyard (Lincoln City).
Vadaine Oliver (Morecambe) wins a free kick in the defensive half.
Attempt missed. Matt Green (Lincoln City) header from the centre of the box is too high.
Michael Bostwick (Lincoln City) wins a free kick in the defensive half.
Foul by Kevin Ellison (Morecambe).
Attempt missed. Matt Green (Lincoln City) right footed shot from a difficult angle on the left is close, but misses to the right.
Attempt blocked. Sean Raggett (Lincoln City) header from the centre of the box is blocked.
Corner,  Lincoln City. Conceded by Barry Roche.
Attempt saved. Matt Rhead (Lincoln City) right footed shot from the centre of the box is saved in the bottom right corner.
Wasteful Lincoln were forced to settle for a draw against Morecambe in their first home match back in the Football League.