Connor Jennings illuminated a standard affair after 33 minutes. The striker had a lot to do when he picked up the ball on the edge of the box, but shot the visitors in front with a fierce strike across the diving Grant Smith.
Jennings nearly doubled his side's advantage before the break, but his effort was cleared off the line.
Tranmere's James Norwood was also thwarted on the goal line, and Tranmere deserved the three points.
In the dying moments, the hosts' Conor Clifford was sent off for picking up a second yellow card.
Report supplied by the Press Association.
Match ends, Boreham Wood 0, Tranmere Rovers 1.
Second Half ends, Boreham Wood 0, Tranmere Rovers 1.
Steven Jennings (Tranmere Rovers) is shown the yellow card.
Scott Davies (Tranmere Rovers) is shown the yellow card.
Lee Vaughan (Tranmere Rovers) is shown the yellow card.
Second yellow card to Conor Clifford (Boreham Wood) for a bad foul.
Michael Ihiekwe (Tranmere Rovers) is shown the yellow card.
Conor Clifford (Boreham Wood) is shown the yellow card.
Substitution, Boreham Wood. Morgan Ferrier replaces Kenny Davis.
Substitution, Boreham Wood. Jordan Chiedozie replaces Adriano Moke.
Second Half begins Boreham Wood 0, Tranmere Rovers 1.
First Half ends, Boreham Wood 0, Tranmere Rovers 1.
Goal!  Boreham Wood 0, Tranmere Rovers 1. Connor Jennings (Tranmere Rovers).
First Half begins.
Lineups are announced and players are warming up.
Tranmere kept their perfect start to the National League intact with a 1-0 win at Boreham Wood.