PA PhotosDavydenko, the former world number three, is now the world number 47, but is one of the most difficult opponents Murray could have faced outside the top 32 seeds.
And his likely second round opponent is grass court specialist Ivo Karlovic.
Murray is in the same half of the draw as French Open champion Rafael Nadal, with the man who beat him at Roland Garros, David Ferrer, a potential quarter-final opponent.
Nadal, seeded second at SW19, will open against Brazilian Thomas Bellucci.
On the other side of the draw world number one Novak Djokovic will begin his Wimbledon defence with a match against former world number one Juan Carlos Ferrero, while Roger Federer plays Albert Ramos.
Other highlights of the first round draw include former champion Lleyton Hewitt taking on Jo-Wilfried Tsonga, while British qualifier Jamie Baker is pitted against the three-times finalist Andy Roddick, and now infamous Queen's finalist David Nalbandian meets Serbian world number eight Janko Tipsarevic.
FULL MEN'S DRAW
1-Novak Djokovic v Juan Carlos Ferrero
Benjamin Becker v James Blake
Sergei Stakhovsky v 28-Radek Stepanek
24-Marcel Granollers v Viktor Troicki
Martin Klizan v Juan Ignacio Chela
Jeremy Chardy v Filippo Volandri
Leonardo Mayer v 15-Juan Monaco
12- Nicolas Almagro v Olivier Rochus
Q-Guillaume Rufin v Steve Darcis
Carlos Berlocq v Q-Ruben Bemelmans
Tobias Kamke v 18-Richard Gasquet
31-Florian Mayer v Dimitry Tursunov
Philipp Petzschner v Blaz Kavcic
Q-Simone Bolelli v Q-Jerzy Janowicz
Ernests Gulbis v 6-Tomas Berdych
3-Roger Federer v Albert Ramos
Fabio Fognini v Michael Llodra
Q-Adrian Menendez Maceiras v Q-Michael Russell
Gilles Muller v 29-Julien Benneteau
17-Fernando Verdasco v Q-Jimmy Wang
WC-Grega Zemlja v WC-Josh Goodall
Xavier Malisse v Marinko Matosevic
Paul-Henri Mathieu v 13-Gilles Simon
11-John Isner v Alejandro Falla
Paolo Lorenzi v Nicolas Mahut
Igor Andreev v WC-Oliver Golding
Denis Istomin v 23-Andreas Seppi
26-Mikhail Youzhny v Donald Young
Q-Inigo Cervantes Huegun v Flavio Cipolla
Q-Ryan Sweeting v Potito Starace
David Nalbandian v 8-Janko Tipsarevic
7-David Ferrer v Q-Dustin Brown
Q-Kenny de Schepper v Matthias Bachinger
LL-Wayne Odesnik v Bjorn Phau
WC-Jamie Baker v 30-Andy Roddick
19-Kei Nishikori v Mikhail Kukushkin
Q-Andrey Kuznetsov v Q-Florent Serra
Go Soeda v Igor Kunitsyn
Robin Haase v 9-Juan Martin del Potro
16-Marin Cilic v Cedrik-Marcel Stebe
Tatsuma Ito v Lukasz Kubot
Vasek Pospisil v Sam Querrey
Santiago Giraldo v 21-Milos Raonic
31-Kevin Anderson v Grigor Dimitrov
Albert Montanes v Marcos Baghdatis
Ivo Karlovic v Dudi Sela
Nikolay Davydenko v 4-Andy Murray
5-Jo-Wilfried Tsonga v WC-Lleyton Hewitt
Edouard Roger-Vasselin v Guillermo Garcia-Lopez
Lukasz Lacko v Adrian Ungur
Juergen Melzer v 25-Stanislas Wawrinka
20-Bernard Tomic v WC-David Goffin
Q-Jesse Levine v Karol Beck
WC-James Ward v Pablo Andujar
Ruben Ramirez Hidalgo v 10-Mardy Fish
14-Feliciano Lopez v Jarkko Nieminen
Q-Brian Baker v Rui Machado
Matthew Ebden v Benoit Paire
Alex Bogomolov Jr v 22-Alexandr Dolgopolov
27-Philipp Kohlschreiber v WC-Tommy Haas
Q-Juergen Zopp v Malek Jaziri
Lukas Rosol v Ivan Dodig
Thomaz Bellucci v 2-Rafael Nadal
