Broad struck out Hirofumi Yamazaki, and pinch-hitter Kohki Tskuda's line drive was snared by second baseman Devon Travis for the second out of the inning.
Broad struck consecutive deliveries for four, four and six, the last a vicious pull stroke, but he went for another big shot and paid the price.
"Early in the new year the TUC will be holding a special meeting to discuss co-ordinated industrial action and to analyse the possibilities and opportunities for a broad strike movement.
Len McCluskey, the newly elected leader of Unite, Britain's largest union of private sector workers, said that trade union leaders would meet early in January to discuss a "broad strike movement" to support the students in their opposition to the government's austerity program.
I have a pretty broad strike zone.
Broad struck early, getting the second new ball to lift so that Ross Taylor gloved down the leg side for 62.
And Broad struck the winning runs with more than five overs to spare as England recorded only their second win in an international match since the start of the disastrous Ashes series.
Broad struck six fours and a six in his counter-attacking innings, which enabled England to convert their overnight 207-5 into 327 - and a first-innings lead of 70.
The captain took risks but rode his luck, and after Bopara had helped calm England's nerves with a composed 38 not out, Broad struck the winning runs with a four through the covers off Dwayne Smith.
Jordan had Cameron White caught down the leg-side in the following over, and in the next, Broad struck twice, including the wicket of Twenty20 cricket's highest run-scorer Brad Hodge, the 39-year-old top-edging to fine-leg.
Greek workers on Wednesday staged a one-day strike to protest the austerity measures and a much broader strike is planned for Feb. 24.
