Markit said the purchasing managers index for manufacturing reached 54, up from 52.7 in December.
The index uses 50 percent as the break-even point that stands between growth and contraction.
Markit said fresh orders for manufacturers rose, as did the index measuring the backlog of orders for goods-producing businesses.
In Greece, the PMI was 51.2 a 65-month high.
The index for Germany, like the eurozone, reached a 32-month high, rising to 56.5. The index for France, which behind Germany represents the second largest economy in Europe, rose to 49.3, a four-month high.
Markit said the PMI for the Netherlands slipped to a three-month low at 54.8. In Italy and Ireland, the index hit two-month lows at 53.1 and 52.8, respectively.
In Spain, the index reached a 45-month high at 52.2.