Henman, who ended up on the losing side in four Wimbledon semi-finals, believes the Scot has gained enough experience to handle to pressure moments after his heartbreaking loss to Roger Federer in last year's final.
Murray went on to beat Federer in the Olympic final a few weeks later and also bagged his first major by beating Novak Djokovic in the US Open final in September.
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"I'm going for Andy Murray," Henman told the BBC Sport website. "Last year's final and his success at the Olympics taught him so much and I really think this will be his year."
Murray opens his campaign on Monday against German veteran Benjamin Becker.
Henman also believes - as most pundits do - that Serena Williams will successfully defend her women's crown.
"She is an utterly dominant force in women's tennis and I just can't see anyone beating her," said Henman.
Wimbledon order of play on Monday, the first day of the 2013 tournament at the All England Club (x denotes seeding):
Centre Court
Victor Hanescu (ROU) v Roger Federer (SUI x3)
Kristina Mladenovic (FRA) v Maria Sharapova (RUS x3)
Benjamin Becker (GER) v Andy Murray (GBR x2)
Court One
Maria Joao Koehler (POR) v Victoria Azarenka (BLR x2)
Rafael Nadal (ESP x5) v Steve Darcis (BEL)
Lleyton Hewitt (AUS) v Stanislas Wawrinka (SUI x11)
Court Two
Virginie Razzano (FRA) v Ana Ivanovic (SRB 12)
Marcos Baghdatis (CYP) v Marin Cilic (CRO x10)
Jo-Wilfried Tsonga (FRA x6) v David Goffin (BEL)
Petra Kvitova (CZE x8) v Coco Vandeweghe (USA)
Court Three
Elena Baltacha (GBR) v Flavia Pennetta (ITA)
Kyle Edmund (GBR) v Jerzy Janowicz (POL x24)
Janko Tipsarevic (SRB x14) v Viktor Troicki (SRB)
Estrella Cabeza Candela (ESP) v Caroline Wozniacki (DEN x9)
Court 12
Fabio Fognini (ITA x30) v Jurgen Melzer (AUT)
Jelena Jankovic (SRB x16) v Johanna Konta (GBR)
James Ward (GBR) v Lu Yen-Hsun (TPE)
Marion Bartoli (FRA x15) v Elina Svitolina (UKR)
Court 18
Robin Haase (NED) v Mikhail Youzhny (RUS x20)
Nicolas Almagro (ESP x15) v Jurgen Zopp (EST)
Sloane Stephens (USA x17) v Jamie Hampton (USA)