From Answers.com
“In Season 3 Episode 19, it is revealed that Ward Cleaver works for a trust company. Also, in the episode where Lumpy wants to join the Merchant Marines, Fred and Ward are talking in Ward’s office and the certificate on the wall reads:
STOCK EXCHANGE
CERTIFICATE OF BROKERSHIP
WARD CLEAVER
Therefore, it is likely that Ward Cleaver is either a stock broker or in some other profession related to finance.”
From Wikipedia:
Ward is an archetypical white collar, briefcase-toting professional of the 1950s. He wears a business suit, works in an office with a view of a metropolitan area, has a secretary named Grace, leaves home early in the morning and returns in the early evening. He works for a “big company” with main offices in New York City; more specifically, it was revealed in Season 3, Episode 19 that Ward works for a trust company under Mr. Anderson. He drives to work in his Plymouth unless June needs the car during the day for a specific errand. He is home on weekends for golfing at a local country club. Occasionally, Ward is required to do some office work at home. In one early episode, for example, he works at home on a women’s marketing survey. His co-worker is Fred Rutherford, a smug, pompous man who refers to the workplace as “the salt mine.”