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Net profit rose to $8.78 billion (around six billion euros), up from $5.48 billion a year earlier, the company said in a statement. Revenues rose 28 percent to $110 billion.
"Our first quarter 2011 earnings have risen from year-ago levels, driven by higher industry margins and our own operating performance," chief executive Peter Voser said in a statement.
"We continue to make good progress in implementing our strategy; improving near-term performance, delivering a new wave of production growth, and maturing the next generation of growth options for shareholders."
The company's results were helped by the steep rise in oil in recent months.